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332890038 = 232135932399
BaseRepresentation
bin10011110101110…
…111111110110110
3212012101120021200
4103311313332312
51140204440123
653010553330
711151342615
oct2365677666
9765346250
10332890038
111609a9238
1293598846
1353c75370
14322d587c
151e359143
hex13d77fb6

332890038 has 48 divisors (see below), whose sum is σ = 778377600. Its totient is φ = 102212352.

The previous prime is 332890037. The next prime is 332890079. The reversal of 332890038 is 830098233.

332890038 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 2×3328900382 = 221631554799282888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332889984 and 332890011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332890031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137563 + ... + 139961.

It is an arithmetic number, because the mean of its divisors is an integer number (16216200).

Almost surely, 2332890038 is an apocalyptic number.

332890038 is an abundant number, since it is smaller than the sum of its proper divisors (445487562).

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

332890038 is a wasteful number, since it uses less digits than its factorization.

332890038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 332890038 is about 18245.2744018828. The cubic root of 332890038 is about 693.0537741797.

The spelling of 332890038 in words is "three hundred thirty-two million, eight hundred ninety thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 593 1186 1779 2399 3558 4798 5337 7197 7709 10674 14394 15418 21591 23127 31187 43182 46254 62374 69381 93561 138762 187122 280683 561366 1422607 2845214 4267821 8535642 12803463 18493891 25606926 36987782 55481673 110963346 166445019 332890038