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264334428 = 2235172941
BaseRepresentation
bin11111100000101…
…10110001011100
3200102101120200000
433300112301130
51020132200203
642121334300
76356543211
oct1760266134
9612346600
10264334428
11126234406
1274637390
13429c1107
142716bb08
15183164a3
hexfc16c5c

264334428 has 108 divisors (see below), whose sum is σ = 736866312. Its totient is φ = 82840320.

The previous prime is 264334417. The next prime is 264334453. The reversal of 264334428 is 824433462.

264334428 is a `hidden beast` number, since 2 + 643 + 3 + 4 + 4 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 264334392 and 264334401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280438 + ... + 281378.

Almost surely, 2264334428 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 264334428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368433156).

264334428 is an abundant number, since it is smaller than the sum of its proper divisors (472531884).

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

264334428 is a wasteful number, since it uses less digits than its factorization.

264334428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 963 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 264334428 is about 16258.3648624331. The cubic root of 264334428 is about 641.7776328321. Note that the first 3 decimals are identical.

The spelling of 264334428 in words is "two hundred sixty-four million, three hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 867 918 941 972 1156 1377 1734 1836 1882 2601 2754 2823 3468 3764 4131 5202 5508 5646 7803 8262 8469 10404 11292 15606 15997 16524 16938 23409 25407 31212 31994 33876 46818 47991 50814 63988 70227 76221 93636 95982 101628 140454 143973 152442 191964 228663 271949 280908 287946 304884 431919 457326 543898 575892 815847 863838 914652 1087796 1295757 1631694 1727676 2447541 2591514 3263388 3887271 4895082 5183028 7342623 7774542 9790164 14685246 15549084 22027869 29370492 44055738 66083607 88111476 132167214 264334428