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332342928 = 243217349389
BaseRepresentation
bin10011110011110…
…010011010010000
3212011100202210100
4103303302122100
51140034433203
652551132400
711143603551
oct2363623220
9764322710
10332342928
11160665185
1293374100
1353b13328
14321d2328
151e29bea3
hex13cf2690

332342928 has 120 divisors (see below), whose sum is σ = 990171000. Its totient is φ = 103698432.

The previous prime is 332342903. The next prime is 332342951. The reversal of 332342928 is 829243233.

332342928 is a `hidden beast` number, since 332 + 34 + 292 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82955664 + 249387264 = 9108^2 + 15792^2 .

It is a super-2 number, since 2×3323429282 = 220903643583226368, which contains 22 as substring.

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 = 332342892 and 332342901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854158 + ... + 854546.

It is an arithmetic number, because the mean of its divisors is an integer number (8251425).

Almost surely, 2332342928 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 332342928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495085500).

332342928 is an abundant number, since it is smaller than the sum of its proper divisors (657828072).

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

332342928 is a wasteful number, since it uses less digits than its factorization.

332342928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 332342928 is about 18230.2750390662. The cubic root of 332342928 is about 692.6738844017.

The spelling of 332342928 in words is "three hundred thirty-two million, three hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 349 389 408 612 698 778 816 1047 1167 1224 1396 1556 2094 2334 2448 2792 3112 3141 3501 4188 4668 5584 5933 6224 6282 6613 7002 8376 9336 11866 12564 13226 14004 16752 17799 18672 19839 23732 25128 26452 28008 35598 39678 47464 50256 52904 53397 56016 59517 71196 79356 94928 105808 106794 119034 135761 142392 158712 213588 238068 271522 284784 317424 407283 427176 476136 543044 814566 854352 952272 1086088 1221849 1629132 2172176 2307937 2443698 3258264 4615874 4887396 6516528 6923811 9231748 9774792 13847622 18463496 19549584 20771433 27695244 36926992 41542866 55390488 83085732 110780976 166171464 332342928