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3042356652 = 2233172815897
BaseRepresentation
bin1011010101010110…
…1010110110101100
321212000201201202000
42311111222312230
522212320403102
61221520132300
7135251414316
oct26525526654
97760651660
103042356652
111321370645
1270aa67090
133963c494a
1420c0b07b6
1512c15e01c
hexb556adac

3042356652 has 96 divisors (see below), whose sum is σ = 8382709440. Its totient is φ = 950906880.

The previous prime is 3042356651. The next prime is 3042356659. The reversal of 3042356652 is 2566532403.

3042356652 is a `hidden beast` number, since 3 + 0 + 42 + 3 + 566 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3042356651) 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, 512968 + ... + 518864.

It is an arithmetic number, because the mean of its divisors is an integer number (87319890).

Almost surely, 23042356652 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 3042356652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191354720).

3042356652 is an abundant number, since it is smaller than the sum of its proper divisors (5340352788).

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

3042356652 is a wasteful number, since it uses less digits than its factorization.

3042356652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3042356652 is about 55157.5620563491. The cubic root of 3042356652 is about 1449.0055253145.

The spelling of 3042356652 in words is "three billion, forty-two million, three hundred fifty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 281 306 459 562 612 843 918 1124 1686 1836 2529 3372 4777 5058 5897 7587 9554 10116 11794 14331 15174 17691 19108 23588 28662 30348 35382 42993 53073 57324 70764 85986 100249 106146 128979 159219 171972 200498 212292 257958 300747 318438 400996 515916 601494 636876 902241 1202988 1657057 1804482 2706723 3314114 3608964 4971171 5413446 6628228 9942342 10826892 14913513 19884684 28169969 29827026 44740539 56339938 59654052 84509907 89481078 112679876 169019814 178962156 253529721 338039628 507059442 760589163 1014118884 1521178326 3042356652