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379074420 = 223252105969
BaseRepresentation
bin10110100110000…
…011011101110100
3222102021222100100
4112212003131310
51234020340140
6101340514100
712252036144
oct2646033564
9872258310
10379074420
11184a8324a
12a6b4b930
13606c5aba
14384b8924
152342d530
hex16983774

379074420 has 36 divisors (see below), whose sum is σ = 1149859620. Its totient is φ = 101086464.

The previous prime is 379074403. The next prime is 379074427. The reversal of 379074420 is 24470973.

It can be written as a sum of positive squares in 2 ways, for example, as 223024356 + 156050064 = 14934^2 + 12492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379074427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052805 + ... + 1053164.

It is an arithmetic number, because the mean of its divisors is an integer number (31940545).

Almost surely, 2379074420 is an apocalyptic number.

379074420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379074420 is an abundant number, since it is smaller than the sum of its proper divisors (770785200).

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

379074420 is a wasteful number, since it uses less digits than its factorization.

379074420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105984 (or 2105979 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 379074420 is about 19469.8335894275. The cubic root of 379074420 is about 723.7270854603.

It can be divided in two parts, 3790 and 74420, that added together give a triangular number (78210 = T395).

The spelling of 379074420 in words is "three hundred seventy-nine million, seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2105969 4211938 6317907 8423876 10529845 12635814 18953721 21059690 25271628 31589535 37907442 42119380 63179070 75814884 94768605 126358140 189537210 379074420