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378468360 = 233251051301
BaseRepresentation
bin10110100011101…
…111100000001000
3222101011011222200
4112203233200020
51233341441420
6101315520200
712243633204
oct2643574010
9871134880
10378468360
111846a9976
12a68b9060
1360542c9a
143839bb04
152335db90
hex168ef808

378468360 has 48 divisors (see below), whose sum is σ = 1230023340. Its totient is φ = 100924800.

The previous prime is 378468347. The next prime is 378468373. The reversal of 378468360 is 63864873.

It is an interprime number because it is at equal distance from previous prime (378468347) and next prime (378468373).

It can be written as a sum of positive squares in 2 ways, for example, as 346183236 + 32285124 = 18606^2 + 5682^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 525291 + ... + 526010.

Almost surely, 2378468360 is an apocalyptic number.

378468360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378468360 is an abundant number, since it is smaller than the sum of its proper divisors (851554980).

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

378468360 is a wasteful number, since it uses less digits than its factorization.

378468360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051318 (or 1051311 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 378468360 is about 19454.2632859741. The cubic root of 378468360 is about 723.3411841027.

The spelling of 378468360 in words is "three hundred seventy-eight million, four hundred sixty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1051301 2102602 3153903 4205204 5256505 6307806 8410408 9461709 10513010 12615612 15769515 18923418 21026020 25231224 31539030 37846836 42052040 47308545 63078060 75693672 94617090 126156120 189234180 378468360