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1342315656 = 23321112831321
BaseRepresentation
bin101000000000010…
…0001110010001000
310110112210200220200
41100000201302020
510222113100111
6341110252200
745156331503
oct12000416210
93415720820
101342315656
1162977a690
12315657060
13185132826
14ca3b813a
157cc9d256
hex50021c88

1342315656 has 96 divisors (see below), whose sum is σ = 3972028320. Its totient is φ = 406137600.

The previous prime is 1342315651. The next prime is 1342315661. The reversal of 1342315656 is 6565132431.

It is an interprime number because it is at equal distance from previous prime (1342315651) and next prime (1342315661).

It is a super-3 number, since 3×13423156563 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1342315656.

It is not an unprimeable number, because it can be changed into a prime (1342315651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015476 + ... + 1016796.

It is an arithmetic number, because the mean of its divisors is an integer number (41375295).

Almost surely, 21342315656 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 1342315656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986014160).

1342315656 is an abundant number, since it is smaller than the sum of its proper divisors (2629712664).

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

1342315656 is a wasteful number, since it uses less digits than its factorization.

1342315656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2620 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1342315656 is about 36637.6262331500. The cubic root of 1342315656 is about 1103.1084681732.

The spelling of 1342315656 in words is "one billion, three hundred forty-two million, three hundred fifteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1283 1321 2566 2642 3849 3963 5132 5284 7698 7926 10264 10568 11547 11889 14113 14531 15396 15852 23094 23778 28226 29062 30792 31704 42339 43593 46188 47556 56452 58124 84678 87186 92376 95112 112904 116248 127017 130779 169356 174372 254034 261558 338712 348744 508068 523116 1016136 1046232 1694843 3389686 5084529 6779372 10169058 13558744 15253587 18643273 20338116 30507174 37286546 40676232 55929819 61014348 74573092 111859638 122028696 149146184 167789457 223719276 335578914 447438552 671157828 1342315656