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380936844 = 22346731747
BaseRepresentation
bin10110101101001…
…010001010001100
3222112210121010000
4112231022022030
51240004434334
6101444444300
712303624021
oct2655121214
9875717100
10380936844
11186035542
12a76a9690
1360bc8722
1438841548
152369a299
hex16b4a28c

380936844 has 60 divisors (see below), whose sum is σ = 997894744. Its totient is φ = 126717696.

The previous prime is 380936819. The next prime is 380936869. The reversal of 380936844 is 448639083.

380936844 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 (380936819) and next prime (380936869).

It is a super-2 number, since 2×3809368442 = 290225758233360672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 380936844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217179 + ... + 218925.

Almost surely, 2380936844 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 380936844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498947372).

380936844 is an abundant number, since it is smaller than the sum of its proper divisors (616957900).

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

380936844 is a wasteful number, since it uses less digits than its factorization.

380936844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 380936844 is about 19517.6034389471. The cubic root of 380936844 is about 724.9103933647.

The spelling of 380936844 in words is "three hundred eighty million, nine hundred thirty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 673 1346 1747 2019 2692 3494 4038 5241 6057 6988 8076 10482 12114 15723 18171 20964 24228 31446 36342 47169 54513 62892 72684 94338 109026 141507 188676 218052 283014 566028 1175731 2351462 3527193 4702924 7054386 10581579 14108772 21163158 31744737 42326316 63489474 95234211 126978948 190468422 380936844