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1342291440 = 2435717431093
BaseRepresentation
bin101000000000001…
…1011110111110000
310110112202110200210
41100000123313300
510222111311230
6341105544120
745156201060
oct12000336760
93415673623
101342291440
11629763476
12315645040
131851247b9
14ca3ad3a0
157cc95eb0
hex5001bdf0

1342291440 has 320 divisors, whose sum is σ = 5157098496. Its totient is φ = 281788416.

The previous prime is 1342291427. The next prime is 1342291441. The reversal of 1342291440 is 441922431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1342291398 and 1342291407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342291441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1227534 + ... + 1228626.

Almost surely, 21342291440 is an apocalyptic number.

1342291440 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 1342291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578549248).

1342291440 is an abundant number, since it is smaller than the sum of its proper divisors (3814807056).

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

1342291440 is a wasteful number, since it uses less digits than its factorization.

1342291440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1342291440 is about 36637.2957517336. The cubic root of 1342291440 is about 1103.1018346030.

The spelling of 1342291440 in words is "one billion, three hundred forty-two million, two hundred ninety-one thousand, four hundred forty".