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374809344 = 28371331173
BaseRepresentation
bin10110010101110…
…010001100000000
3222010021021202120
4112111302030000
51231422344334
6101105244240
712200553420
oct2625621400
9863237676
10374809344
1118262a898
12a5633680
135c8616a0
1437ac8480
1522d89949
hex16572300

374809344 has 288 divisors, whose sum is σ = 1274671104. Its totient is φ = 95109120.

The previous prime is 374809343. The next prime is 374809367. The reversal of 374809344 is 443908473.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 374809296 and 374809305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374809343) 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 31 ways as a sum of consecutive naturals, for example, 2166442 + ... + 2166614.

Almost surely, 2374809344 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 374809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637335552).

374809344 is an abundant number, since it is smaller than the sum of its proper divisors (899861760).

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

374809344 is a wasteful number, since it uses less digits than its factorization.

374809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 374809344 is about 19359.9933884286. The cubic root of 374809344 is about 721.0025539770.

The spelling of 374809344 in words is "three hundred seventy-four million, eight hundred nine thousand, three hundred forty-four".