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34869968 = 247279563
BaseRepresentation
bin1000010100000…
…1001011010000
32102121120121022
42011001023100
532411314333
63243215012
7602250500
oct205011320
972546538
1034869968
1118757361
12b817468
1372bb823
1448b9a00
1530dbc98
hex21412d0

34869968 has 60 divisors (see below), whose sum is σ = 79727040. Its totient is φ = 14728896.

The previous prime is 34869943. The next prime is 34870007. The reversal of 34869968 is 86996843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61655 + ... + 62217.

It is an arithmetic number, because the mean of its divisors is an integer number (1328784).

Almost surely, 234869968 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 34869968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39863520).

34869968 is an abundant number, since it is smaller than the sum of its proper divisors (44857072).

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

34869968 is a wasteful number, since it uses less digits than its factorization.

34869968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 34869968 is about 5905.0798470469. The cubic root of 34869968 is about 326.7010394670.

The spelling of 34869968 in words is "thirty-four million, eight hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 553 563 632 784 1106 1126 1264 2212 2252 3871 3941 4424 4504 7742 7882 8848 9008 15484 15764 27587 30968 31528 44477 55174 61936 63056 88954 110348 177908 220696 311339 355816 441392 622678 711632 1245356 2179373 2490712 4358746 4981424 8717492 17434984 34869968