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444190734 = 232132338147
BaseRepresentation
bin11010011110011…
…101000000001110
31010221211020010200
4122132131000032
51402203100414
6112024314330
714002362501
oct3236350016
91127736120
10444190734
11208809089
121049129a6
1371044770
1442dc9138
1528ee2109
hex1a79d00e

444190734 has 48 divisors (see below), whose sum is σ = 1041021072. Its totient is φ = 136070784.

The previous prime is 444190727. The next prime is 444190741. The reversal of 444190734 is 437091444.

It is an interprime number because it is at equal distance from previous prime (444190727) and next prime (444190741).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50449 + ... + 58595.

It is an arithmetic number, because the mean of its divisors is an integer number (21687939).

Almost surely, 2444190734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444190734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520510536).

444190734 is an abundant number, since it is smaller than the sum of its proper divisors (596830338).

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

444190734 is a wasteful number, since it uses less digits than its factorization.

444190734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 444190734 is about 21075.8329372768. The cubic root of 444190734 is about 762.9975877490.

The spelling of 444190734 in words is "four hundred forty-four million, one hundred ninety thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 3029 4194 6058 8147 9087 16294 18174 24441 27261 48882 54522 73323 105911 146646 211822 317733 635466 953199 1898251 1906398 3796502 5694753 11389506 17084259 24677263 34168518 49354526 74031789 148063578 222095367 444190734