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34913112 = 23313317353
BaseRepresentation
bin1000010100101…
…1101101011000
32102200202210020
42011023231120
532414204422
63244150440
7602520333
oct205135530
972622706
1034913112
1118786813
12b838420
137305360
1448cb61a
1530e995c
hex214bb58

34913112 has 64 divisors (see below), whose sum is σ = 94560480. Its totient is φ = 10678272.

The previous prime is 34913107. The next prime is 34913117. The reversal of 34913112 is 21131943.

It is an interprime number because it is at equal distance from previous prime (34913107) and next prime (34913117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34913117) 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, 98728 + ... + 99080.

Almost surely, 234913112 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 34913112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47280240).

34913112 is an abundant number, since it is smaller than the sum of its proper divisors (59647368).

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

34913112 is a wasteful number, since it uses less digits than its factorization.

34913112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 34913112 is about 5908.7318436362. The cubic root of 34913112 is about 326.8357244237.

The spelling of 34913112 in words is "thirty-four million, nine hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 317 353 634 706 951 1059 1268 1412 1902 2118 2536 2824 3804 4121 4236 4589 7608 8242 8472 9178 12363 13767 16484 18356 24726 27534 32968 36712 49452 55068 98904 110136 111901 223802 335703 447604 671406 895208 1342812 1454713 2685624 2909426 4364139 5818852 8728278 11637704 17456556 34913112