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34930818 = 23313172927
BaseRepresentation
bin1000010101000…
…0000010000010
32102201200002000
42011100002002
532420241233
63244404430
7602623056
oct205200202
972650060
1034930818
111879904a
12b846716
137310430
1448d3c66
1530eed13
hex2150082

34930818 has 64 divisors (see below), whose sum is σ = 88542720. Its totient is φ = 10112256.

The previous prime is 34930817. The next prime is 34930837. The reversal of 34930818 is 81803943.

34930818 is a `hidden beast` number, since 349 + 308 + 1 + 8 = 666.

It is a super-2 number, since 2×349308182 = 2440324092298248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34930817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10471 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 234930818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34930818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44271360).

34930818 is an abundant number, since it is smaller than the sum of its proper divisors (53611902).

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

34930818 is a wasteful number, since it uses less digits than its factorization.

34930818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 34930818 is about 5910.2299447653. The cubic root of 34930818 is about 326.8909660890.

The spelling of 34930818 in words is "thirty-four million, nine hundred thirty thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 918 1326 1989 2927 3978 5854 5967 8781 11934 17562 26343 38051 49759 52686 76102 79029 99518 114153 149277 158058 228306 298554 342459 447831 646867 684918 895662 1027377 1293734 1343493 1940601 2054754 2686986 3881202 5821803 11643606 17465409 34930818