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374003344 = 241113315273
BaseRepresentation
bin10110010010101…
…101011010010000
3222001202100010201
4112102231122100
51231221101334
6101040104544
712160655521
oct2622553220
9861670121
10374003344
1118212a280
12a5305154
135c63b870
1437958848
1522c7ac14
hex164ad690

374003344 has 80 divisors (see below), whose sum is σ = 878943744. Its totient is φ = 151833600.

The previous prime is 374003341. The next prime is 374003369. The reversal of 374003344 is 443300473.

It is not an unprimeable number, because it can be changed into a prime (374003341) 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, 68292 + ... + 73564.

Almost surely, 2374003344 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 374003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439471872).

374003344 is an abundant number, since it is smaller than the sum of its proper divisors (504940400).

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

374003344 is a wasteful number, since it uses less digits than its factorization.

374003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 374003344 is about 19339.1660626822. The cubic root of 374003344 is about 720.4853620376.

The spelling of 374003344 in words is "three hundred seventy-four million, three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 2288 2728 3224 4433 5273 5456 6448 8866 10546 17732 21092 35464 42184 58003 68549 70928 84368 116006 137098 163463 232012 274196 326926 464024 548392 653852 754039 928048 1096784 1307704 1508078 1798093 2125019 2615408 3016156 3596186 4250038 6032312 7192372 8500076 12064624 14384744 17000152 23375209 28769488 34000304 46750418 93500836 187001672 374003344