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342270556992 = 2634731321767
BaseRepresentation
bin1001111101100001110…
…10100011101101000000
31012201110102102210220000
410332300322203231000
521101432230310432
6421123101520000
733504532506000
oct4766072435500
91181412383800
10342270556992
11122179896421
1256401873000
1326378417a00
14127cd0b6000
158d8369d57c
hex4fb0ea3b40

342270556992 has 1680 divisors, whose sum is σ = 1376834025600. Its totient is φ = 83691159552.

The previous prime is 342270556939. The next prime is 342270556993. The reversal of 342270556992 is 299655072243.

342270556992 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 70 + 5 + 569 + 9 + 2 = 666.

It is a super-2 number, since 2×3422705569922 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342270556993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5108515743 + ... + 5108515809.

Almost surely, 2342270556992 is an apocalyptic number.

342270556992 is a gapful number since it is divisible by the number (32) 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 342270556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688417012800).

342270556992 is an abundant number, since it is smaller than the sum of its proper divisors (1034563468608).

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

342270556992 is a wasteful number, since it uses less digits than its factorization.

342270556992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 342270556992 in words is "three hundred forty-two billion, two hundred seventy million, five hundred fifty-six thousand, nine hundred ninety-two".