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376204816 = 241323732
BaseRepresentation
bin10110011011000…
…110111000010000
3222012220011222201
4112123012320100
51232302023231
6101155212544
712215455021
oct2633067020
9865804881
10376204816
111833a3279
12a5ba7154
135cc2c900
1437d6cc48
1523063161
hex166c6e10

376204816 has 45 divisors (see below), whose sum is σ = 791400519. Its totient is φ = 173167488.

The previous prime is 376204811. The next prime is 376204819. The reversal of 376204816 is 618402673.

The square root of 376204816 is 19396.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43507216 + 332697600 = 6596^2 + 18240^2 .

It is not an unprimeable number, because it can be changed into a prime (376204811) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1008406 + ... + 1008778.

Almost surely, 2376204816 is an apocalyptic number.

376204816 is the 19396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376204816

376204816 is an abundant number, since it is smaller than the sum of its proper divisors (415195703).

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

376204816 is an equidigital number, since it uses as much as digits as its factorization.

376204816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 376204816 is about 721.8962463740.

It can be divided in two parts, 37620 and 4816, that added together give a square (42436 = 2062).

The spelling of 376204816 in words is "three hundred seventy-six million, two hundred four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 373 676 746 1352 1492 2704 2984 4849 5968 9698 19396 38792 63037 77584 126074 139129 252148 278258 504296 556516 1008592 1113032 1808677 2226064 3617354 7234708 14469416 23512801 28938832 47025602 94051204 188102408 376204816