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380380356 = 223229364349
BaseRepresentation
bin10110101011000…
…010010011000100
3222111202022202100
4112223002103010
51234334132411
6101424512100
712266115426
oct2653022304
9874668670
10380380356
11185795434
12a747b630
1360a62345
1438738816
15235da456
hex16ac24c4

380380356 has 36 divisors (see below), whose sum is σ = 994675500. Its totient is φ = 122420928.

The previous prime is 380380309. The next prime is 380380391. The reversal of 380380356 is 653083083.

It can be written as a sum of positive squares in 2 ways, for example, as 70056900 + 310323456 = 8370^2 + 17616^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380380356.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181131 + ... + 183218.

It is an arithmetic number, because the mean of its divisors is an integer number (27629875).

Almost surely, 2380380356 is an apocalyptic number.

380380356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380380356 is an abundant number, since it is smaller than the sum of its proper divisors (614295144).

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

380380356 is a wasteful number, since it uses less digits than its factorization.

380380356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364388 (or 364383 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 380380356 is about 19503.3421751248. The cubic root of 380380356 is about 724.5572284965.

The spelling of 380380356 in words is "three hundred eighty million, three hundred eighty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 364349 728698 1093047 1457396 2186094 3279141 4372188 6558282 10566121 13116564 21132242 31698363 42264484 63396726 95095089 126793452 190190178 380380356