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376313860 = 225132921721
BaseRepresentation
bin10110011011100…
…001100000000100
3222020002201120101
4112123201200010
51232314020420
6101201413444
712216420646
oct2633414004
9866081511
10376313860
1118346819a
12a603a284
135cc6a430
1437d9a896
152308560a
hex166e1804

376313860 has 72 divisors (see below), whose sum is σ = 881918856. Its totient is φ = 134077440.

The previous prime is 376313857. The next prime is 376313869. The reversal of 376313860 is 68313673.

It can be written as a sum of positive squares in 12 ways, for example, as 89756676 + 286557184 = 9474^2 + 16928^2 .

It is a super-2 number, since 2×3763138602 = 283224242456199200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (376313869) 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 23 ways as a sum of consecutive naturals, for example, 217800 + ... + 219520.

It is an arithmetic number, because the mean of its divisors is an integer number (12248873).

Almost surely, 2376313860 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 376313860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440959428).

376313860 is an abundant number, since it is smaller than the sum of its proper divisors (505604996).

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

376313860 is a wasteful number, since it uses less digits than its factorization.

376313860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 376313860 is about 19398.8107882932. The cubic root of 376313860 is about 721.9659875067.

The spelling of 376313860 in words is "three hundred seventy-six million, three hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 841 1508 1682 1721 1885 3364 3442 3770 4205 6884 7540 8410 8605 10933 16820 17210 21866 22373 34420 43732 44746 49909 54665 89492 99818 109330 111865 199636 218660 223730 249545 447460 499090 648817 998180 1297634 1447361 2595268 2894722 3244085 5789444 6488170 7236805 12976340 14473610 18815693 28947220 37631386 75262772 94078465 188156930 376313860