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380812420 = 225531013557
BaseRepresentation
bin10110101100101…
…011110010000100
3222112120021102201
4112230223302010
51234441444140
6101442044244
712302565202
oct2654536204
9875507381
10380812420
11185a6000a
12a7649684
1360b83bc1
143880c072
152367349a
hex16b2bc84

380812420 has 48 divisors (see below), whose sum is σ = 823093488. Its totient is φ = 147929600.

The previous prime is 380812409. The next prime is 380812433. The reversal of 380812420 is 24218083.

It can be written as a sum of positive squares in 8 ways, for example, as 5692996 + 375119424 = 2386^2 + 19368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105282 + ... + 108838.

It is an arithmetic number, because the mean of its divisors is an integer number (17147781).

Almost surely, 2380812420 is an apocalyptic number.

It is an amenable number.

380812420 is an abundant number, since it is smaller than the sum of its proper divisors (442281068).

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

380812420 is a wasteful number, since it uses less digits than its factorization.

380812420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 380812420 is about 19514.4156971199. The cubic root of 380812420 is about 724.8314598318.

The spelling of 380812420 in words is "three hundred eighty million, eight hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 101 106 202 212 265 404 505 530 1010 1060 2020 3557 5353 7114 10706 14228 17785 21412 26765 35570 53530 71140 107060 188521 359257 377042 718514 754084 942605 1437028 1796285 1885210 3592570 3770420 7185140 19040621 38081242 76162484 95203105 190406210 380812420