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374075920 = 24537432939
BaseRepresentation
bin10110010010111…
…111001000010000
3222001220000200201
4112102333020100
51231230412140
6101041424544
712161410231
oct2622771020
9861800621
10374075920
11182179859
12a533b154
135c6658ca
1437977088
1522c9249a
hex164bf210

374075920 has 80 divisors (see below), whose sum is σ = 914316480. Its totient is φ = 142152192.

The previous prime is 374075917. The next prime is 374075929. The reversal of 374075920 is 29570473.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 374075920.

It is not an unprimeable number, because it can be changed into a prime (374075929) 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 15 ways as a sum of consecutive naturals, for example, 125811 + ... + 128749.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2374075920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374075920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457158240).

374075920 is an abundant number, since it is smaller than the sum of its proper divisors (540240560).

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

374075920 is a wasteful number, since it uses less digits than its factorization.

374075920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 374075920 is about 19341.0423710823. The cubic root of 374075920 is about 720.5319628363.

The spelling of 374075920 in words is "three hundred seventy-four million, seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 43 74 80 86 148 172 185 215 296 344 370 430 592 688 740 860 1480 1591 1720 2939 2960 3182 3440 5878 6364 7955 11756 12728 14695 15910 23512 25456 29390 31820 47024 58780 63640 108743 117560 126377 127280 217486 235120 252754 434972 505508 543715 631885 869944 1011016 1087430 1263770 1739888 2022032 2174860 2527540 4349720 4675949 5055080 8699440 9351898 10110160 18703796 23379745 37407592 46759490 74815184 93518980 187037960 374075920