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1342146960 = 2432571143563
BaseRepresentation
bin100111111111111…
…1000100110010000
310110112111010111200
41033333320212100
510222042200320
6341102511200
745155026620
oct11777704620
93415433450
101342146960
11629674970
12315595500
131850a3acb
14ca372880
157cc68290
hex4fff8990

1342146960 has 480 divisors, whose sum is σ = 5760488448. Its totient is φ = 271918080.

The previous prime is 1342146919. The next prime is 1342146961. The reversal of 1342146960 is 696412431.

1342146960 is a `hidden beast` number, since 134 + 2 + 1 + 469 + 60 = 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 (1342146961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383639 + ... + 2384201.

Almost surely, 21342146960 is an apocalyptic number.

1342146960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880244224).

1342146960 is an abundant number, since it is smaller than the sum of its proper divisors (4418341488).

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

1342146960 is a wasteful number, since it uses less digits than its factorization.

1342146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1342146960 is about 36635.3239374241. The cubic root of 1342146960 is about 1103.0622550535.

The spelling of 1342146960 in words is "one billion, three hundred forty-two million, one hundred forty-six thousand, nine hundred sixty".