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378380304 = 243216212
BaseRepresentation
bin10110100011011…
…010000000010000
3222100222201012100
4112203122000100
51233331132204
6101314000400
712243115401
oct2643320020
9870881170
10378380304
111846497a5
12a6876100
1360511b93
14383779a8
1523342a39
hex168da010

378380304 has 45 divisors (see below), whose sum is σ = 1059592989. Its totient is φ = 126048960.

The previous prime is 378380297. The next prime is 378380309. The reversal of 378380304 is 403083873.

The square root of 378380304 is 19452.

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

It can be written as a sum of positive squares in only one way, i.e., 290770704 + 87609600 = 17052^2 + 9360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (378380309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232614 + ... + 234234.

Almost surely, 2378380304 is an apocalyptic number.

378380304 is the 19452-nd square number.

It is an amenable number.

378380304 is an abundant number, since it is smaller than the sum of its proper divisors (681212685).

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

378380304 is an equidigital number, since it uses as much as digits as its factorization.

378380304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 378380304 is about 723.2850812431.

Multiplying 378380304 by its sum of digits (36), we get a square (13621690944 = 1167122).

378380304 divided by its sum of digits (36) gives a square (10510564 = 32422).

The spelling of 378380304 in words is "three hundred seventy-eight million, three hundred eighty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1621 3242 4863 6484 9726 12968 14589 19452 25936 29178 38904 58356 77808 116712 233424 2627641 5255282 7882923 10510564 15765846 21021128 23648769 31531692 42042256 47297538 63063384 94595076 126126768 189190152 378380304