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34730916 = 223111072459
BaseRepresentation
bin1000010001111…
…1001110100100
32102100111212020
42010133032210
532342342131
63240223140
7601131213
oct204371644
972314766
1034730916
1118671940
12b76aab0
13727044c
14488107a
1530b0996
hex211f3a4

34730916 has 48 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 10421920.

The previous prime is 34730909. The next prime is 34730921. The reversal of 34730916 is 61903743.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12895 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 234730916 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 34730916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

34730916 is an abundant number, since it is smaller than the sum of its proper divisors (54537564).

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

34730916 is a wasteful number, since it uses less digits than its factorization.

34730916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 34730916 is about 5893.2941552242. The cubic root of 34730916 is about 326.2661958167.

The spelling of 34730916 in words is "thirty-four million, seven hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 2459 3531 4708 4918 7062 7377 9836 14124 14754 27049 29508 54098 81147 108196 162294 263113 324588 526226 789339 1052452 1578678 2894243 3157356 5788486 8682729 11576972 17365458 34730916