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34818516 = 22321756893
BaseRepresentation
bin1000010011010…
…0100111010100
32102111222000200
42010310213110
532403143031
63242140500
7601644465
oct204644724
972458020
1034818516
1118721737
12b7b1730
1372a1295
1448a4d6c
1530cb8e6
hex21349d4

34818516 has 36 divisors (see below), whose sum is σ = 93192372. Its totient is φ = 10923264.

The previous prime is 34818467. The next prime is 34818521. The reversal of 34818516 is 61581843.

It can be written as a sum of positive squares in 2 ways, for example, as 15634116 + 19184400 = 3954^2 + 4380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27835 + ... + 29058.

It is an arithmetic number, because the mean of its divisors is an integer number (2588677).

Almost surely, 234818516 is an apocalyptic number.

34818516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34818516 is an abundant number, since it is smaller than the sum of its proper divisors (58373856).

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

34818516 is a wasteful number, since it uses less digits than its factorization.

34818516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56920 (or 56915 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 34818516 is about 5900.7216507814. The cubic root of 34818516 is about 326.5402736534.

The spelling of 34818516 in words is "thirty-four million, eight hundred eighteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 56893 113786 170679 227572 341358 512037 682716 967181 1024074 1934362 2048148 2901543 3868724 5803086 8704629 11606172 17409258 34818516