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145904304 = 24371333403
BaseRepresentation
bin10001011001001…
…01001010110000
3101011112201002010
420230211022300
5244322414204
622251122520
73421110660
oct1054451260
9334481063
10145904304
11753a5077
1240a43440
13242c6910
14155401a0
15cc20d89
hex8b252b0

145904304 has 80 divisors (see below), whose sum is σ = 463914752. Its totient is φ = 38479104.

The previous prime is 145904303. The next prime is 145904347. The reversal of 145904304 is 403409541.

It is not an unprimeable number, because it can be changed into a prime (145904303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12334 + ... + 21069.

Almost surely, 2145904304 is an apocalyptic number.

145904304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145904304 is an abundant number, since it is smaller than the sum of its proper divisors (318010448).

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

145904304 is a wasteful number, since it uses less digits than its factorization.

145904304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33434 (or 33428 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 145904304 is about 12079.0853958402. The cubic root of 145904304 is about 526.4486719099.

The spelling of 145904304 in words is "one hundred forty-five million, nine hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 33403 66806 100209 133612 200418 233821 267224 400836 434239 467642 534448 701463 801672 868478 935284 1302717 1402926 1603344 1736956 1870568 2605434 2805852 3039673 3473912 3741136 5210868 5611704 6079346 6947824 9119019 10421736 11223408 12158692 18238038 20843472 24317384 36476076 48634768 72952152 145904304