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34272680 = 23513173877
BaseRepresentation
bin1000001010111…
…1010110101000
32101111020021112
42002233112220
532233211210
63222325452
7564212231
oct202572650
971436245
1034272680
1118389632
12b589888
13713c9c0
1447a2088
15301ed05
hex20af5a8

34272680 has 64 divisors (see below), whose sum is σ = 87953040. Its totient is φ = 11907072.

The previous prime is 34272671. The next prime is 34272683. The reversal of 34272680 is 8627243.

It can be written as a sum of positive squares in 8 ways, for example, as 9012004 + 25260676 = 3002^2 + 5026^2 .

It is not an unprimeable number, because it can be changed into a prime (34272683) 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, 6902 + ... + 10778.

Almost surely, 234272680 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 34272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43976520).

34272680 is an abundant number, since it is smaller than the sum of its proper divisors (53680360).

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

34272680 is a wasteful number, since it uses less digits than its factorization.

34272680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 34272680 is about 5854.2873178552. The cubic root of 34272680 is about 324.8249313532.

The spelling of 34272680 in words is "thirty-four million, two hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 3877 4420 7754 8840 15508 19385 31016 38770 50401 65909 77540 100802 131818 155080 201604 252005 263636 329545 403208 504010 527272 659090 856817 1008020 1318180 1713634 2016040 2636360 3427268 4284085 6854536 8568170 17136340 34272680