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34086696 = 23371371481
BaseRepresentation
bin1000001000000…
…1111100101000
32101010210011020
42002001330220
532211233241
63214332440
7562506060
oct202017450
971123136
1034086696
1118271926
12b4ba120
1370a6157
1447543a0
152ed4b66
hex2081f28

34086696 has 64 divisors (see below), whose sum is σ = 98167680. Its totient is φ = 9661440.

The previous prime is 34086677. The next prime is 34086697. The reversal of 34086696 is 69668043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34086697) 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, 22276 + ... + 23756.

It is an arithmetic number, because the mean of its divisors is an integer number (1533870).

Almost surely, 234086696 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 34086696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49083840).

34086696 is an abundant number, since it is smaller than the sum of its proper divisors (64080984).

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

34086696 is a wasteful number, since it uses less digits than its factorization.

34086696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 34086696 is about 5838.3812825132. The cubic root of 34086696 is about 324.2363007171.

The spelling of 34086696 in words is "thirty-four million, eighty-six thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1481 1644 1918 2877 2962 3288 3836 4443 5754 5924 7672 8886 10367 11508 11848 17772 20734 23016 31101 35544 41468 62202 82936 124404 202897 248808 405794 608691 811588 1217382 1420279 1623176 2434764 2840558 4260837 4869528 5681116 8521674 11362232 17043348 34086696