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332081304 = 233412811201
BaseRepresentation
bin10011110010110…
…010100010011000
3212010212110220120
4103302302202120
51140003100204
652541353240
711141434032
oct2362624230
9763773816
10332081304
111604a6665
1293268820
1353a51219
1432164c52
151e2496d9
hex13cb2898

332081304 has 64 divisors (see below), whose sum is σ = 854189280. Its totient is φ = 107520000.

The previous prime is 332081261. The next prime is 332081311. The reversal of 332081304 is 403180233.

It is a super-2 number, since 2×3320813042 = 220555984932680832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275904 + ... + 277104.

Almost surely, 2332081304 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 332081304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427094640).

332081304 is an abundant number, since it is smaller than the sum of its proper divisors (522107976).

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

332081304 is a wasteful number, since it uses less digits than its factorization.

332081304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 332081304 is about 18223.0980900614. The cubic root of 332081304 is about 692.4920765253.

The spelling of 332081304 in words is "three hundred thirty-two million, eighty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 281 328 492 562 843 984 1124 1201 1686 2248 2402 3372 3603 4804 6744 7206 9608 11521 14412 23042 28824 34563 46084 49241 69126 92168 98482 138252 147723 196964 276504 295446 337481 393928 590892 674962 1012443 1181784 1349924 2024886 2699848 4049772 8099544 13836721 27673442 41510163 55346884 83020326 110693768 166040652 332081304