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34933668 = 22372112491
BaseRepresentation
bin1000010101000…
…0101110100100
32102201210222120
42011100232210
532420334133
63244425540
7602634300
oct205205644
972653876
1034933668
11187a0200
12b8482b0
137311813
1448d4d00
153100ab3
hex2150ba4

34933668 has 108 divisors (see below), whose sum is σ = 104435856. Its totient is φ = 9055200.

The previous prime is 34933637. The next prime is 34933693. The reversal of 34933668 is 86633943.

It is a super-2 number, since 2×349336682 = 2440722319868448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70903 + ... + 71393.

Almost surely, 234933668 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 34933668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52217928).

34933668 is an abundant number, since it is smaller than the sum of its proper divisors (69502188).

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

34933668 is a wasteful number, since it uses less digits than its factorization.

34933668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 34933668 is about 5910.4710472178. The cubic root of 34933668 is about 326.8998561749.

The spelling of 34933668 in words is "thirty-four million, nine hundred thirty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 491 539 588 726 847 924 982 1078 1452 1473 1617 1694 1964 2156 2541 2946 3234 3388 3437 5082 5401 5892 5929 6468 6874 10164 10311 10802 11858 13748 16203 17787 20622 21604 23716 24059 32406 35574 37807 41244 48118 59411 64812 71148 72177 75614 96236 113421 118822 144354 151228 178233 226842 237644 264649 288708 356466 415877 453684 529298 712932 793947 831754 1058596 1247631 1587894 1663508 2495262 2911139 3175788 4990524 5822278 8733417 11644556 17466834 34933668