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374086020 = 2235711217433
BaseRepresentation
bin10110010011000…
…001100110000100
3222001220112112210
4112103001212010
51231231223040
6101041543420
712161451540
oct2623014604
9861815483
10374086020
11182186400
12a5344b70
135c66a399
143797aa20
1522c95480
hex164c1984

374086020 has 288 divisors, whose sum is σ = 1396410624. Its totient is φ = 72990720.

The previous prime is 374086001. The next prime is 374086043. The reversal of 374086020 is 20680473.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 863724 + ... + 864156.

It is an arithmetic number, because the mean of its divisors is an integer number (4848648).

Almost surely, 2374086020 is an apocalyptic number.

374086020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374086020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698205312).

374086020 is an abundant number, since it is smaller than the sum of its proper divisors (1022324604).

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

374086020 is a wasteful number, since it uses less digits than its factorization.

374086020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 374086020 is about 19341.3034721034. The cubic root of 374086020 is about 720.5384475336.

The spelling of 374086020 in words is "three hundred seventy-four million, eighty-six thousand, twenty".