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34512068344 = 23131519072423
BaseRepresentation
bin100000001001000101…
…000101111011111000
310022002012112201112111
4200021011011323320
51031140042141334
623504333222104
72331145512025
oct401105057370
9108065481474
1034512068344
1113700187836
126832031934
133340105a20
1419557b654c
15d6eced064
hex809145ef8

34512068344 has 64 divisors (see below), whose sum is σ = 70255664640. Its totient is φ = 15799190400.

The previous prime is 34512068317. The next prime is 34512068359. The reversal of 34512068344 is 44386021543.

It is a super-2 number, since 2×345120683442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34512068297 and 34512068306.

It is a congruent number.

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, 14242317 + ... + 14244739.

It is an arithmetic number, because the mean of its divisors is an integer number (1097744760).

Almost surely, 234512068344 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 34512068344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35127832320).

34512068344 is an abundant number, since it is smaller than the sum of its proper divisors (35743596296).

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

34512068344 is a wasteful number, since it uses less digits than its factorization.

34512068344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 34512068344 its reverse (44386021543), we get a palindrome (78898089887).

The spelling of 34512068344 in words is "thirty-four billion, five hundred twelve million, sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 907 1208 1814 1963 2423 3628 3926 4846 7256 7852 9692 11791 15704 19384 23582 31499 47164 62998 94328 125996 136957 251992 273914 365873 547828 731746 1095656 1463492 1780441 2197661 2926984 3560882 4395322 4756349 7121764 8790644 9512698 14243528 17581288 19025396 28569593 38050792 57139186 114278372 228556744 331846811 663693622 1327387244 2654774488 4314008543 8628017086 17256034172 34512068344