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1342409952 = 253131075649
BaseRepresentation
bin101000000000011…
…1000110011100000
310110112222111021010
41100000320303200
510222124104302
6341112300520
745160203432
oct12000706340
93415874233
101342409952
11629834514
123156a1740
13185166720
14ca400652
157ccbb16c
hex50038ce0

1342409952 has 48 divisors (see below), whose sum is σ = 3794893200. Its totient is φ = 413048832.

The previous prime is 1342409899. The next prime is 1342409977. The reversal of 1342409952 is 2599042431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1342409952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536577 + ... + 539072.

It is an arithmetic number, because the mean of its divisors is an integer number (79060275).

Almost surely, 21342409952 is an apocalyptic number.

1342409952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1342409952 is an abundant number, since it is smaller than the sum of its proper divisors (2452483248).

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

1342409952 is a wasteful number, since it uses less digits than its factorization.

1342409952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075675 (or 1075667 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1342409952 is about 36638.9130843152. The cubic root of 1342409952 is about 1103.1342982329.

The spelling of 1342409952 in words is "one billion, three hundred forty-two million, four hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1075649 2151298 3226947 4302596 6453894 8605192 12907788 13983437 17210384 25815576 27966874 34420768 41950311 51631152 55933748 83900622 103262304 111867496 167801244 223734992 335602488 447469984 671204976 1342409952