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34345543424 = 28438337591
BaseRepresentation
bin11111111111001001…
…110110011100000000
310021122121012101021212
4133333021312130000
51030314424342144
623440024105252
72324054205443
oct377711663400
9107577171255
1034345543424
1113625189135
1267a6305228
13331476c37a
14193b62965a
15d603a749e
hex7ff276700

34345543424 has 72 divisors (see below), whose sum is σ = 70998356352. Its totient is φ = 16570874880.

The previous prime is 34345543423. The next prime is 34345543459. The reversal of 34345543424 is 42434554343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345543423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894869 + ... + 932459.

Almost surely, 234345543424 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 34345543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35499178176).

34345543424 is an abundant number, since it is smaller than the sum of its proper divisors (36652812928).

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

34345543424 is an equidigital number, since it uses as much as digits as its factorization.

34345543424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37733 (or 37719 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 41.

The spelling of 34345543424 in words is "thirty-four billion, three hundred forty-five million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 83 86 128 166 172 256 332 344 664 688 1328 1376 2656 2752 3569 5312 5504 7138 10624 11008 14276 21248 28552 37591 57104 75182 114208 150364 228416 300728 456832 601456 913664 1202912 1616413 2405824 3120053 3232826 4811648 6240106 6465652 9623296 12480212 12931304 24960424 25862608 49920848 51725216 99841696 103450432 134162279 199683392 206900864 268324558 399366784 413801728 536649116 798733568 1073298232 2146596464 4293192928 8586385856 17172771712 34345543424