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374864720 = 2454685809
BaseRepresentation
bin10110010101111…
…111101101010000
3222010101002201112
4112111333231100
51231431132340
6101110352452
712201204026
oct2625775520
9863332645
10374864720
1118266845a
12a565b728
135c880959
1437b00716
1522d9b065
hex1657fb50

374864720 has 20 divisors (see below), whose sum is σ = 871560660. Its totient is φ = 149945856.

The previous prime is 374864719. The next prime is 374864729. The reversal of 374864720 is 27468473.

374864720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123832384 + 251032336 = 11128^2 + 15844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374864729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2342825 + ... + 2342984.

It is an arithmetic number, because the mean of its divisors is an integer number (43578033).

Almost surely, 2374864720 is an apocalyptic number.

It is an amenable number.

374864720 is an abundant number, since it is smaller than the sum of its proper divisors (496695940).

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

374864720 is a wasteful number, since it uses less digits than its factorization.

374864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685822 (or 4685816 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 374864720 is about 19361.4235013854. The cubic root of 374864720 is about 721.0380602701.

The spelling of 374864720 in words is "three hundred seventy-four million, eight hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4685809 9371618 18743236 23429045 37486472 46858090 74972944 93716180 187432360 374864720