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34003248096 = 2532029174569
BaseRepresentation
bin11111101010110000…
…000110001111100000
310020202202002222101010
4133222300012033200
51024114312414341
623342035340520
72312426561046
oct375260061740
9106682088333
1034003248096
1113469a46634
12670b751740
13328b88305c
141907da6396
15d402e1716
hex7eac063e0

34003248096 has 48 divisors (see below), whose sum is σ = 89303029200. Its totient is φ = 11328764928.

The previous prime is 34003248043. The next prime is 34003248109. The reversal of 34003248096 is 69084230043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107500 + ... + 282068.

It is an arithmetic number, because the mean of its divisors is an integer number (1860479775).

Almost surely, 234003248096 is an apocalyptic number.

It is an amenable number.

34003248096 is an abundant number, since it is smaller than the sum of its proper divisors (55299781104).

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

34003248096 is a wasteful number, since it uses less digits than its factorization.

34003248096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176611 (or 176603 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 34003248096 in words is "thirty-four billion, three million, two hundred forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2029 4058 6087 8116 12174 16232 24348 32464 48696 64928 97392 174569 194784 349138 523707 698276 1047414 1396552 2094828 2793104 4189656 5586208 8379312 16758624 354200501 708401002 1062601503 1416802004 2125203006 2833604008 4250406012 5667208016 8500812024 11334416032 17001624048 34003248096