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378824680 = 235132925121
BaseRepresentation
bin10110100101000…
…110011111101000
3222101211021202201
4112211012133220
51233434342210
6101331305544
712246646063
oct2645063750
9871737681
10378824680
11184922653
12a6a4b2b4
1360639220
14384518da
15233ce53a
hex169467e8

378824680 has 64 divisors (see below), whose sum is σ = 949611600. Its totient is φ = 135045120.

The previous prime is 378824669. The next prime is 378824729. The reversal of 378824680 is 86428873.

It can be written as a sum of positive squares in 8 ways, for example, as 89756676 + 289068004 = 9474^2 + 17002^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378824680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2520 + ... + 27640.

Almost surely, 2378824680 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 378824680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474805800).

378824680 is an abundant number, since it is smaller than the sum of its proper divisors (570786920).

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

378824680 is a wasteful number, since it uses less digits than its factorization.

378824680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25174 (or 25170 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 378824680 is about 19463.4190213333. The cubic root of 378824680 is about 723.5681164034.

The spelling of 378824680 in words is "three hundred seventy-eight million, eight hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 25121 50242 100484 125605 200968 251210 326573 502420 653146 728509 1004840 1306292 1457018 1632865 2612584 2914036 3265730 3642545 5828072 6531460 7285090 9470617 13062920 14570180 18941234 29140360 37882468 47353085 75764936 94706170 189412340 378824680