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34506864 = 2433711411
BaseRepresentation
bin1000001110100…
…0100001110000
32101221010112000
42003220201300
532313204424
63231334000
7566206050
oct203504160
971833460
1034506864
1118529577
12b681300
1371c2482
144823560
1530693c9
hex20e8870

34506864 has 80 divisors (see below), whose sum is σ = 113207040. Its totient is φ = 9858240.

The previous prime is 34506863. The next prime is 34506887. The reversal of 34506864 is 46860543.

It is a super-2 number, since 2×345068642 = 2381447326228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506863) 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, 2682 + ... + 8729.

It is an arithmetic number, because the mean of its divisors is an integer number (1415088).

Almost surely, 234506864 is an apocalyptic number.

It is an amenable number.

34506864 is an abundant number, since it is smaller than the sum of its proper divisors (78700176).

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

34506864 is a wasteful number, since it uses less digits than its factorization.

34506864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 34506864 is about 5874.2543356583. The cubic root of 34506864 is about 325.5630916798.

The spelling of 34506864 in words is "thirty-four million, five hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 11411 22822 34233 45644 68466 79877 91288 102699 136932 159754 182576 205398 239631 273864 308097 319508 410796 479262 547728 616194 639016 718893 821592 958524 1232388 1278032 1437786 1643184 1917048 2156679 2464776 2875572 3834096 4313358 4929552 5751144 8626716 11502288 17253432 34506864