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379860100 = 225219492
BaseRepresentation
bin10110101001000…
…011010010000100
3222110202220002121
4112221003102010
51234221010400
6101405415324
712261520564
oct2651032204
9873686077
10379860100
1118546a574
12a726a544
136090c5b9
1438640da4
152353621a
hex16a43484

379860100 has 27 divisors (see below), whose sum is σ = 824719567. Its totient is φ = 151866080.

The previous prime is 379860071. The next prime is 379860101. The reversal of 379860100 is 1068973.

The square root of 379860100 is 19490.

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 13060996 + 366799104 = 3614^2 + 19152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379860101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193926 + ... + 195874.

Almost surely, 2379860100 is an apocalyptic number.

379860100 is the 19490-th square number.

It is an amenable number.

379860100 is an abundant number, since it is smaller than the sum of its proper divisors (444859467).

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

379860100 is an equidigital number, since it uses as much as digits as its factorization.

379860100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 379860100 is about 724.2267459261.

The spelling of 379860100 in words is "three hundred seventy-nine million, eight hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1949 3898 7796 9745 19490 38980 48725 97450 194900 3798601 7597202 15194404 18993005 37986010 75972020 94965025 189930050 379860100