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350434464 = 253173743
BaseRepresentation
bin10100111000110…
…011010010100000
3220102101220201020
4110320303102200
51204202400324
654435005440
711453433552
oct2470632240
9812356636
10350434464
1116a8a1666
1299439880
13577a8b93
14347814d2
1520b72679
hex14e334a0

350434464 has 96 divisors (see below), whose sum is σ = 978687360. Its totient is φ = 109792256.

The previous prime is 350434459. The next prime is 350434471. The reversal of 350434464 is 464434053.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471277 + ... + 472019.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2350434464 is an apocalyptic number.

350434464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489343680).

350434464 is an abundant number, since it is smaller than the sum of its proper divisors (628252896).

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

350434464 is an equidigital number, since it uses as much as digits as its factorization.

350434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 350434464 is about 18719.8948714997. The cubic root of 350434464 is about 705.0213524039.

The spelling of 350434464 in words is "three hundred fifty million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 743 816 867 1156 1486 1632 1734 2229 2312 2972 3468 4458 4624 4913 5944 6936 8916 9248 9826 11888 12631 13872 14739 17832 19652 23776 25262 27744 29478 35664 37893 39304 50524 58956 71328 75786 78608 101048 117912 151572 157216 202096 214727 235824 303144 404192 429454 471648 606288 644181 858908 1212576 1288362 1717816 2576724 3435632 3650359 5153448 6871264 7300718 10306896 10951077 14601436 20613792 21902154 29202872 43804308 58405744 87608616 116811488 175217232 350434464