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1342742400 = 27335215541
BaseRepresentation
bin101000000001000…
…1001111110000000
310110120121101022000
41100002021332000
510222220224100
6341123344000
745163056606
oct12002117600
93416541260
101342742400
11629a4126a
12315822000
13185251b3c
14ca489876
157cd34900
hex50089f80

1342742400 has 192 divisors, whose sum is σ = 4914380400. Its totient is φ = 358041600.

The previous prime is 1342742393. The next prime is 1342742413. The reversal of 1342742400 is 42472431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78630 + ... + 94170.

Almost surely, 21342742400 is an apocalyptic number.

1342742400 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 1342742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457190200).

1342742400 is an abundant number, since it is smaller than the sum of its proper divisors (3571638000).

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

1342742400 is a wasteful number, since it uses less digits than its factorization.

1342742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15574 (or 15551 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1342742400 is about 36643.4496192703. The cubic root of 1342742400 is about 1103.2253545010.

The spelling of 1342742400 in words is "one billion, three hundred forty-two million, seven hundred forty-two thousand, four hundred".