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354444948 = 22321113312221
BaseRepresentation
bin10101001000000…
…110011010010100
3220200221200001200
4111020012122110
51211214214243
655100552500
711532506124
oct2510063224
9820850050
10354444948
11172090810
129a852730
1358581450
1435106c84
15211b5ad3
hex15206694

354444948 has 144 divisors (see below), whose sum is σ = 1087037952. Its totient is φ = 95904000.

The previous prime is 354444947. The next prime is 354444977. The reversal of 354444948 is 849444453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354444947) 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 47 ways as a sum of consecutive naturals, for example, 158478 + ... + 160698.

Almost surely, 2354444948 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 354444948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543518976).

354444948 is an abundant number, since it is smaller than the sum of its proper divisors (732593004).

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

354444948 is a wasteful number, since it uses less digits than its factorization.

354444948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2281 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 354444948 is about 18826.7083686979. The cubic root of 354444948 is about 707.7006538798.

The spelling of 354444948 in words is "three hundred fifty-four million, four hundred forty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 806 858 1023 1116 1209 1287 1364 1612 1716 2046 2221 2418 2574 3069 3627 4092 4433 4442 4836 5148 6138 6663 7254 8866 8884 12276 13299 13326 14508 17732 19989 24431 26598 26652 28873 39897 39978 48862 53196 57746 68851 73293 79794 79956 86619 97724 115492 137702 146586 159588 173238 206553 219879 259857 275404 293172 317603 346476 413106 439758 519714 619659 635206 757361 826212 879516 895063 952809 1039428 1239318 1270412 1514722 1790126 1905618 2272083 2478636 2685189 2858427 3029444 3580252 3811236 4544166 5370378 5716854 6816249 8055567 9088332 9845693 10740756 11433708 13632498 16111134 19691386 27264996 29537079 32222268 39382772 59074158 88611237 118148316 177222474 354444948