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379548324 = 22321721912
BaseRepresentation
bin10110100111110…
…111001010100100
3222110012001102100
4112213313022210
51234131021244
6101355012100
712256051611
oct2647671244
9873161370
10379548324
11185277301
12a713a030
136083070c
143859d508
15234c3b69
hex169f72a4

379548324 has 81 divisors (see below), whose sum is σ = 1024533601. Its totient is φ = 118450560.

The previous prime is 379548289. The next prime is 379548329. The reversal of 379548324 is 423845973.

The square root of 379548324 is 19482.

It is a perfect power (a square), and thus also a powerful number.

379548324 is a `hidden beast` number, since 3 + 79 + 548 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 295496100 + 84052224 = 17190^2 + 9168^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 379548324.

It is not an unprimeable number, because it can be changed into a prime (379548329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1987069 + ... + 1987259.

Almost surely, 2379548324 is an apocalyptic number.

379548324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

379548324 is the 19482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379548324

379548324 is an abundant number, since it is smaller than the sum of its proper divisors (644985277).

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

379548324 is a wasteful number, since it uses less digits than its factorization.

379548324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 379548324 is about 724.0285516248.

The spelling of 379548324 in words is "three hundred seventy-nine million, five hundred forty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 204 289 306 382 573 578 612 764 867 1146 1156 1719 1734 2292 2601 3247 3438 3468 5202 6494 6876 9741 10404 12988 19482 29223 36481 38964 55199 58446 72962 109443 110398 116892 145924 165597 218886 220796 328329 331194 437772 496791 620177 656658 662388 993582 1240354 1313316 1860531 1987164 2480708 3721062 5581593 7442124 10543009 11163186 21086018 22326372 31629027 42172036 63258054 94887081 126516108 189774162 379548324