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342472265520 = 2435711191795449
BaseRepresentation
bin1001111101111001111…
…00000000111100110000
31012201222110222122222020
410332330330000330300
521102340344444040
6421155105111440
733512532140340
oct4767474007460
91181873878866
10342472265520
11122272735a90
1256459328580
13263ab14c878
141280bbc0d20
158d96243cd0
hex4fbcf00f30

342472265520 has 640 divisors, whose sum is σ = 1401338880000. Its totient is φ = 67028705280.

The previous prime is 342472265519. The next prime is 342472265593. The reversal of 342472265520 is 25562274243.

It is a happy number.

It is a super-4 number, since 4×3424722655204 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62847756 + ... + 62853204.

It is an arithmetic number, because the mean of its divisors is an integer number (2189592000).

Almost surely, 2342472265520 is an apocalyptic number.

342472265520 is a gapful number since it is divisible by the number (30) 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 342472265520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700669440000).

342472265520 is an abundant number, since it is smaller than the sum of its proper divisors (1058866614480).

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

342472265520 is a wasteful number, since it uses less digits than its factorization.

342472265520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 342472265520 in words is "three hundred forty-two billion, four hundred seventy-two million, two hundred sixty-five thousand, five hundred twenty".