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379516260 = 2235193110739
BaseRepresentation
bin10110100111101…
…111010101100100
3222110010102102210
4112213233111210
51234124010020
6101354203420
712255556254
oct2647572544
9873112383
10379516260
11185255202
12a7123570
136081bc46
1438591964
15234b93e0
hex169ef564

379516260 has 96 divisors (see below), whose sum is σ = 1154764800. Its totient is φ = 92776320.

The previous prime is 379516231. The next prime is 379516297. The reversal of 379516260 is 62615973.

379516260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29971 + ... + 40709.

It is an arithmetic number, because the mean of its divisors is an integer number (12028800).

Almost surely, 2379516260 is an apocalyptic number.

379516260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379516260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577382400).

379516260 is an abundant number, since it is smaller than the sum of its proper divisors (775248540).

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

379516260 is a wasteful number, since it uses less digits than its factorization.

379516260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 379516260 is about 19481.1770691609. The cubic root of 379516260 is about 724.0081625607.

The spelling of 379516260 in words is "three hundred seventy-nine million, five hundred sixteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8835 10739 11780 17670 21478 32217 35340 42956 53695 64434 107390 128868 161085 204041 214780 322170 332909 408082 612123 644340 665818 816164 998727 1020205 1224246 1331636 1664545 1997454 2040410 2448492 3060615 3329090 3994908 4080820 4993635 6121230 6325271 6658180 9987270 12242460 12650542 18975813 19974540 25301084 31626355 37951626 63252710 75903252 94879065 126505420 189758130 379516260