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376302820 = 225176716519
BaseRepresentation
bin10110011011011…
…110110011100100
3222020002011102111
4112123132303210
51232313142240
6101201250404
712216343525
oct2633366344
9866064374
10376302820
1118345a973
12a6033a04
135cc653ba
1437d9684c
15230821ea
hex166dece4

376302820 has 48 divisors (see below), whose sum is σ = 849260160. Its totient is φ = 139544064.

The previous prime is 376302799. The next prime is 376302841. The reversal of 376302820 is 28203673.

376302820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (376302799) and next prime (376302841).

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 15 ways as a sum of consecutive naturals, for example, 14521 + ... + 31039.

It is an arithmetic number, because the mean of its divisors is an integer number (17692920).

Almost surely, 2376302820 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 376302820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424630080).

376302820 is an abundant number, since it is smaller than the sum of its proper divisors (472957340).

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

376302820 is a wasteful number, since it uses less digits than its factorization.

376302820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 376302820 is about 19398.5262326807. The cubic root of 376302820 is about 721.9589272809.

The spelling of 376302820 in words is "three hundred seventy-six million, three hundred two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 335 340 670 1139 1340 2278 4556 5695 11390 16519 22780 33038 66076 82595 165190 280823 330380 561646 1106773 1123292 1404115 2213546 2808230 4427092 5533865 5616460 11067730 18815141 22135460 37630282 75260564 94075705 188151410 376302820