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423626328 = 233323711201
BaseRepresentation
bin11001010000000…
…000011001011000
31002112010110002000
4121100000121120
51331422020303
6110011441000
713332523116
oct3120003130
91075113060
10423626328
111a8142804
12b9a56160
13699c4488
1440394ab6
15272cdda3
hex19400658

423626328 has 128 divisors (see below), whose sum is σ = 1246233600. Its totient is φ = 133056000.

The previous prime is 423626323. The next prime is 423626341. The reversal of 423626328 is 823626324.

423626328 is a `hidden beast` number, since 4 + 2 + 3 + 626 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 423626292 and 423626301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423626323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352128 + ... + 353328.

It is an arithmetic number, because the mean of its divisors is an integer number (9736200).

Almost surely, 2423626328 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 423626328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623116800).

423626328 is an abundant number, since it is smaller than the sum of its proper divisors (822607272).

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

423626328 is a wasteful number, since it uses less digits than its factorization.

423626328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 423626328 is about 20582.1847236876. The cubic root of 423626328 is about 751.0363911980.

The spelling of 423626328 in words is "four hundred twenty-three million, six hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 71 72 92 108 138 142 184 207 213 216 276 284 414 426 552 568 621 639 828 852 1201 1242 1278 1633 1656 1704 1917 2402 2484 2556 3266 3603 3834 4804 4899 4968 5112 6532 7206 7668 9608 9798 10809 13064 14412 14697 15336 19596 21618 27623 28824 29394 32427 39192 43236 44091 55246 58788 64854 82869 85271 86472 88182 110492 117576 129708 165738 170542 176364 220984 248607 255813 259416 331476 341084 352728 497214 511626 662952 682168 745821 767439 994428 1023252 1491642 1534878 1961233 1988856 2046504 2302317 2983284 3069756 3922466 4604634 5883699 5966568 6139512 7844932 9209268 11767398 15689864 17651097 18418536 23534796 35302194 47069592 52953291 70604388 105906582 141208776 211813164 423626328