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34325596716 = 223174134711827
BaseRepresentation
bin11111111101111101…
…110000101000101100
310021121012122222112220
4133331331300220230
51030244323043331
623434032355340
72323422520665
oct377575605054
9107535588486
1034325596716
11136149a4954
12679b6a5b50
1333105a7298
141938b1636c
15d5d767296
hex7fdf70a2c

34325596716 has 96 divisors (see below), whose sum is σ = 87130536192. Its totient is φ = 10474997760.

The previous prime is 34325596649. The next prime is 34325596717. The reversal of 34325596716 is 61769552343.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (34325596717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2896395 + ... + 2908221.

It is an arithmetic number, because the mean of its divisors is an integer number (907609752).

Almost surely, 234325596716 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 34325596716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43565268096).

34325596716 is an abundant number, since it is smaller than the sum of its proper divisors (52804939476).

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

34325596716 is a wasteful number, since it uses less digits than its factorization.

34325596716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12239 (or 12237 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 34325596716 in words is "thirty-four billion, three hundred twenty-five million, five hundred ninety-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 347 492 694 697 1041 1388 1394 2082 2091 2788 4164 4182 5899 8364 11798 11827 14227 17697 23596 23654 28454 35394 35481 42681 47308 56908 70788 70962 85362 141924 170724 201059 241859 402118 483718 484907 603177 725577 804236 967436 969814 1206354 1451154 1454721 1939628 2412708 2902308 2909442 4103969 5818884 8207938 8243419 12311907 16415876 16486838 24623814 24730257 32973676 49247628 49460514 69767473 98921028 139534946 168262729 209302419 279069892 336525458 418604838 504788187 673050916 837209676 1009576374 2019152748 2860466393 5720932786 8581399179 11441865572 17162798358 34325596716