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1342329408 = 2634771521
BaseRepresentation
bin101000000000010…
…0101001001000000
310110112211101210000
41100000211021000
510222114020113
6341110440000
745156416550
oct12000451100
93415741700
101342329408
11629789a52
12315663000
13185138b74
14ca3bd160
157cca2373
hex50025240

1342329408 has 280 divisors, whose sum is σ = 4620426624. Its totient is φ = 377395200.

The previous prime is 1342329383. The next prime is 1342329431. The reversal of 1342329408 is 8049232431.

1342329408 is a `hidden beast` number, since 13 + 4 + 232 + 9 + 408 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2576188 + ... + 2576708.

Almost surely, 21342329408 is an apocalyptic number.

1342329408 is a gapful number since it is divisible by the number (18) 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 1342329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310213312).

1342329408 is an abundant number, since it is smaller than the sum of its proper divisors (3278097216).

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

1342329408 is an equidigital number, since it uses as much as digits as its factorization.

1342329408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1342329408 is about 36637.8139085836. The cubic root of 1342329408 is about 1103.1122352692.

The spelling of 1342329408 in words is "one billion, three hundred forty-two million, three hundred twenty-nine thousand, four hundred eight".