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332113008 = 243192371223
BaseRepresentation
bin10011110010111…
…010010001110000
3212010221002101210
4103302322101300
51140010104013
652542200120
711141625333
oct2362722160
9763832353
10332113008
11160518467
1293283040
1353a62796
143217261a
151e253cc3
hex13cba470

332113008 has 160 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 98461440.

The previous prime is 332112971. The next prime is 332113009. The reversal of 332113008 is 800311233.

It is a happy number.

332113008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3321130082 = 220598100165616128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332113009) 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, 1489185 + ... + 1489407.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2332113008 is an apocalyptic number.

332113008 is a gapful number since it is divisible by the number (38) 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 332113008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

332113008 is an abundant number, since it is smaller than the sum of its proper divisors (627825552).

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

332113008 is a wasteful number, since it uses less digits than its factorization.

332113008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 332113008 is about 18223.9679543177. The cubic root of 332113008 is about 692.5141133678.

The spelling of 332113008 in words is "three hundred thirty-two million, one hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 71 76 92 114 138 142 152 184 213 223 228 276 284 304 368 426 437 446 456 552 568 669 852 874 892 912 1104 1136 1311 1338 1349 1633 1704 1748 1784 2622 2676 2698 3266 3408 3496 3568 4047 4237 4899 5129 5244 5352 5396 6532 6992 8094 8474 9798 10258 10488 10704 10792 12711 13064 15387 15833 16188 16948 19596 20516 20976 21584 25422 26128 30774 31027 31666 32376 33896 39192 41032 47499 50844 61548 62054 63332 64752 67792 78384 82064 93081 94998 97451 101688 123096 124108 126664 186162 189996 194902 203376 246192 248216 253328 292353 300827 364159 372324 379992 389804 496432 584706 601654 728318 744648 759984 779608 902481 1092477 1169412 1203308 1456636 1489296 1559216 1804962 2184954 2338824 2406616 2913272 3609924 4369908 4677648 4813232 5826544 6919021 7219848 8739816 13838042 14439696 17479632 20757063 27676084 41514126 55352168 83028252 110704336 166056504 332113008