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374137344 = 2932721657
BaseRepresentation
bin10110010011001…
…110001000000000
3222002000010221200
4112103032020000
51231234343334
6101043021200
712162054300
oct2623161000
9862003850
10374137344
11182210a19
12a536a800
135c687859
1437991600
1522ca5799
hex164ce200

374137344 has 180 divisors, whose sum is σ = 1256835294. Its totient is φ = 106831872.

The previous prime is 374137327. The next prime is 374137391. The reversal of 374137344 is 443731473.

It can be written as a sum of positive squares in only one way, i.e., 341510400 + 32626944 = 18480^2 + 5712^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 374137299 and 374137308.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224964 + ... + 226620.

Almost surely, 2374137344 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 374137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628417647).

374137344 is an abundant number, since it is smaller than the sum of its proper divisors (882697950).

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

374137344 is a wasteful number, since it uses less digits than its factorization.

374137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1669 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 374137344 is about 19342.6302244550. The cubic root of 374137344 is about 720.5713982653.

The spelling of 374137344 in words is "three hundred seventy-four million, one hundred thirty-seven thousand, three hundred forty-four".