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34001840496 = 24313275319793
BaseRepresentation
bin11111101010101010…
…101110100101110000
310020202122110110111210
4133222222232211300
51024113432343441
623341545240120
72312411606211
oct375252564560
9106678413453
1034001840496
1113469175028
12670b193040
13328b4ac460
141907b1b408
15d40114616
hex7eaaae970

34001840496 has 80 divisors (see below), whose sum is σ = 94634005536. Its totient is φ = 10457776128.

The previous prime is 34001840491. The next prime is 34001840527. The reversal of 34001840496 is 69404810043.

It is a happy number.

It is a super-2 number, since 2×340018404962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001840491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707976 + ... + 1727768.

Almost surely, 234001840496 is an apocalyptic number.

It is an amenable number.

34001840496 is an abundant number, since it is smaller than the sum of its proper divisors (60632165040).

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

34001840496 is a wasteful number, since it uses less digits than its factorization.

34001840496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22570 (or 22564 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 34001840496 in words is "thirty-four billion, one million, eight hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 2753 5506 8259 11012 16518 19793 22024 33036 35789 39586 44048 59379 66072 71578 79172 107367 118758 132144 143156 158344 214734 237516 257309 286312 316688 429468 475032 514618 572624 771927 858936 950064 1029236 1543854 1717872 2058472 3087708 4116944 6175416 12350832 54490129 108980258 163470387 217960516 326940774 435921032 653881548 708371677 871842064 1307763096 1416743354 2125115031 2615526192 2833486708 4250230062 5666973416 8500460124 11333946832 17000920248 34001840496