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379105434 = 2344157077
BaseRepresentation
bin10110100110001…
…011000010011010
3222102100112220000
4112212023002122
51234022333214
6101341313430
712252225441
oct2646130232
9872315800
10379105434
11184aa4584
12a6b65876
1360706c56
14384c5d58
1523437809
hex1698b09a

379105434 has 40 divisors (see below), whose sum is σ = 870211188. Its totient is φ = 123284160.

The previous prime is 379105427. The next prime is 379105439. The reversal of 379105434 is 434501973.

It can be written as a sum of positive squares in 2 ways, for example, as 315950625 + 63154809 = 17775^2 + 7947^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (379105439) by changing a digit.

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, 21897 + ... + 35180.

Almost surely, 2379105434 is an apocalyptic number.

379105434 is an abundant number, since it is smaller than the sum of its proper divisors (491105754).

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

379105434 is a wasteful number, since it uses less digits than its factorization.

379105434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57132 (or 57123 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 379105434 is about 19470.6300360312. The cubic root of 379105434 is about 723.7468221826.

The spelling of 379105434 in words is "three hundred seventy-nine million, one hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 6642 57077 114154 171231 342462 513693 1027386 1541079 2340157 3082158 4623237 4680314 7020471 9246474 14040942 21061413 42122826 63184239 126368478 189552717 379105434