Search a number
-
+
34745700618 = 23210726216883
BaseRepresentation
bin100000010111000000…
…010101000100001010
310022200111011110202200
4200113000111010022
51032124344404433
623543440541030
72340013403466
oct402700250412
9108614143680
1034745700618
1113810051162
126898321776
133379637385
1419788314a6
15d8559c613
hex81701510a

34745700618 has 48 divisors (see below), whose sum is σ = 76025959776. Its totient is φ = 11467614240.

The previous prime is 34745700599. The next prime is 34745700623. The reversal of 34745700618 is 81600754743.

34745700618 is a `hidden beast` number, since 3 + 4 + 74 + 570 + 0 + 6 + 1 + 8 = 666.

It is a super-3 number, since 3×347457006183 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 5044605 + ... + 5051487.

It is an arithmetic number, because the mean of its divisors is an integer number (1583874162).

Almost surely, 234745700618 is an apocalyptic number.

34745700618 is an abundant number, since it is smaller than the sum of its proper divisors (41280259158).

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

34745700618 is a wasteful number, since it uses less digits than its factorization.

34745700618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9619 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 34745700618 in words is "thirty-four billion, seven hundred forty-five million, seven hundred thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 2621 5242 6883 7863 13766 15726 20649 23589 41298 47178 61947 123894 280447 560894 736481 841341 1472962 1682682 2209443 2524023 4418886 5048046 6628329 13256658 18040343 36080686 54121029 108242058 162363087 324726174 1930316701 3860633402 5790950103 11581900206 17372850309 34745700618