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423104256 = 2833411493
BaseRepresentation
bin11001001110000…
…000111100000000
31002111010220221000
4121032000330000
51331303314011
6105552332000
713325220051
oct3116007400
91074126830
10423104256
111a7916543
12b9844000
1369870963
144029a728
1527229356
hex19380f00

423104256 has 144 divisors (see below), whose sum is σ = 1282569120. Its totient is φ = 137502720.

The previous prime is 423104239. The next prime is 423104257. The reversal of 423104256 is 652401324.

423104256 is a `hidden beast` number, since 4 + 231 + 0 + 425 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4231042562 = 358034422890627072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423104257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282646 + ... + 284138.

It is an arithmetic number, because the mean of its divisors is an integer number (8906730).

Almost surely, 2423104256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641284560).

423104256 is an abundant number, since it is smaller than the sum of its proper divisors (859464864).

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

423104256 is a wasteful number, since it uses less digits than its factorization.

423104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 423104256 is about 20569.4981951432. The cubic root of 423104256 is about 750.7277416278.

The spelling of 423104256 in words is "four hundred twenty-three million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 576 656 738 768 864 984 1107 1152 1312 1476 1493 1728 1968 2214 2304 2624 2952 2986 3456 3936 4428 4479 5248 5904 5972 6912 7872 8856 8958 10496 11808 11944 13437 15744 17712 17916 23616 23888 26874 31488 35424 35832 40311 47232 47776 53748 61213 70848 71664 80622 94464 95552 107496 122426 141696 143328 161244 183639 191104 214992 244852 283392 286656 322488 367278 382208 429984 489704 550917 573312 644976 734556 859968 979408 1101834 1146624 1289952 1469112 1652751 1719936 1958816 2203668 2579904 2938224 3305502 3439872 3917632 4407336 5159808 5876448 6611004 7835264 8814672 10319616 11752896 13222008 15670528 17629344 23505792 26444016 35258688 47011584 52888032 70517376 105776064 141034752 211552128 423104256