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34712327364 = 223111342148049
BaseRepresentation
bin100000010101000001…
…000001010011000100
310022121011100221021020
4200111001001103010
51032042323433424
623540245351140
72336126625411
oct402501012304
9108534327236
1034712327364
11137a3227360
1268891084b0
133372750ba0
141974225108
15d826a9079
hex8150414c4

34712327364 has 96 divisors (see below), whose sum is σ = 95383478400. Its totient is φ = 9686476800.

The previous prime is 34712327341. The next prime is 34712327383. The reversal of 34712327364 is 46372321743.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698412 + ... + 746460.

It is an arithmetic number, because the mean of its divisors is an integer number (993577900).

Almost surely, 234712327364 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 34712327364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47691739200).

34712327364 is an abundant number, since it is smaller than the sum of its proper divisors (60671151036).

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

34712327364 is a wasteful number, since it uses less digits than its factorization.

34712327364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48501 (or 48499 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The spelling of 34712327364 in words is "thirty-four billion, seven hundred twelve million, three hundred twenty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 421 429 572 842 858 1263 1684 1716 2526 4631 5052 5473 9262 10946 13893 16419 18524 21892 27786 32838 48049 55572 60203 65676 96098 120406 144147 180609 192196 240812 288294 361218 528539 576588 624637 722436 1057078 1249274 1585617 1873911 2114156 2498548 3171234 3747822 6342468 6871007 7495644 13742014 20228629 20613021 27484028 40457258 41226042 60685887 80914516 82452084 121371774 222514919 242743548 262972177 445029838 525944354 667544757 788916531 890059676 1051888708 1335089514 1577833062 2670179028 2892693947 3155666124 5785387894 8678081841 11570775788 17356163682 34712327364