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34608948 = 22311299041
BaseRepresentation
bin1000010000000…
…1011100110100
32102010022112220
42010001130310
532324441243
63233442340
7600112503
oct204013464
972108486
1034608948
1118599240
12b7103b0
137229a8a
14484c83a
153089783
hex2101734

34608948 has 48 divisors (see below), whose sum is σ = 91143360. Its totient is φ = 10124800.

The previous prime is 34608943. The next prime is 34608971. The reversal of 34608948 is 84980643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34608943) 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, 693 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (1898820).

Almost surely, 234608948 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 34608948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571680).

34608948 is an abundant number, since it is smaller than the sum of its proper divisors (56534412).

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

34608948 is a wasteful number, since it uses less digits than its factorization.

34608948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 34608948 is about 5882.9370215905. The cubic root of 34608948 is about 325.8838207463.

The spelling of 34608948 in words is "thirty-four million, six hundred eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 9041 18082 27123 36164 54246 99451 108492 198902 262189 298353 397804 524378 596706 786567 1048756 1193412 1573134 2884079 3146268 5768158 8652237 11536316 17304474 34608948