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379584072 = 23327753143
BaseRepresentation
bin10110100111111…
…111111001001000
3222110020212110100
4112213333321020
51234133142242
6101355445400
712256261050
oct2647777110
9873225410
10379584072
111852a114a
12a7156860
1360843a7a
14385ac560
15234ce54c
hex169ffe48

379584072 has 48 divisors (see below), whose sum is σ = 1174904640. Its totient is φ = 108452448.

The previous prime is 379584067. The next prime is 379584083. The reversal of 379584072 is 270485973.

379584072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3795840722 = 288168135432202368, which contains 22 as substring.

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, 376068 + ... + 377075.

It is an arithmetic number, because the mean of its divisors is an integer number (24477180).

Almost surely, 2379584072 is an apocalyptic number.

It is an amenable number.

379584072 is an abundant number, since it is smaller than the sum of its proper divisors (795320568).

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

379584072 is a wasteful number, since it uses less digits than its factorization.

379584072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753162 (or 753155 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 379584072 is about 19482.9174406709. The cubic root of 379584072 is about 724.0512819408.

The spelling of 379584072 in words is "three hundred seventy-nine million, five hundred eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 753143 1506286 2259429 3012572 4518858 5272001 6025144 6778287 9037716 10544002 13556574 15816003 18075432 21088004 27113148 31632006 42176008 47448009 54226296 63264012 94896018 126528024 189792036 379584072