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423641232 = 24337236091
BaseRepresentation
bin11001010000000…
…100000010010000
31002112011012112000
4121100010002100
51331423004412
6110012034000
713332614430
oct3120040220
91075135460
10423641232
111a8152a23
12b9a62900
13699cb1b1
144039a2c0
15272d34dc
hex19404090

423641232 has 160 divisors (see below), whose sum is σ = 1450383360. Its totient is φ = 115758720.

The previous prime is 423641191. The next prime is 423641237. The reversal of 423641232 is 232146324.

423641232 = T233 + T234 + ... + T1366.

423641232 is a `hidden beast` number, since 423 + 6 + 4 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 423641196 and 423641205.

It is not an unprimeable number, because it can be changed into a prime (423641237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66507 + ... + 72597.

It is an arithmetic number, because the mean of its divisors is an integer number (9064896).

Almost surely, 2423641232 is an apocalyptic number.

423641232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423641232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725191680).

423641232 is an abundant number, since it is smaller than the sum of its proper divisors (1026742128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423641232 is a wasteful number, since it uses less digits than its factorization.

423641232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6126 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 423641232 is about 20582.5467811930. The cubic root of 423641232 is about 751.0451987362.

Adding to 423641232 its reverse (232146324), we get a palindrome (655787556).

The spelling of 423641232 in words is "four hundred twenty-three million, six hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 6091 7728 8694 9936 11592 12182 17388 18273 23184 24364 34776 36546 42637 48728 54819 69552 73092 85274 97456 109638 127911 140093 146184 164457 170548 219276 255822 280186 292368 328914 341096 383733 420279 438552 511644 560372 657828 682192 767466 840558 877104 980651 1023288 1120744 1151199 1260837 1315656 1534932 1681116 1961302 2046576 2241488 2302398 2521674 2631312 2941953 3069864 3362232 3782511 3922604 4604796 5043348 5883906 6139728 6724464 7565022 7845208 8825859 9209592 10086696 11767812 15130044 15690416 17651718 18419184 20173392 23535624 26477577 30260088 35303436 47071248 52955154 60520176 70606872 105910308 141213744 211820616 423641232