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274234563240 = 2335112373312323
BaseRepresentation
bin1111111101100110100…
…1110101101010101000
3222012211212201020002120
43333121221311222220
513443113022010430
6325552010231240
725545534220041
oct3773151655250
9865755636076
10274234563240
11a6336297310
1245194725520
131cb24b54541
14d3b72698c8
1572006e0610
hex3fd9a75aa8

274234563240 has 256 divisors, whose sum is σ = 937870202880. Its totient is φ = 63498716160.

The previous prime is 274234563157. The next prime is 274234563271. The reversal of 274234563240 is 42365432472.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 274234563192 and 274234563201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22247719 + ... + 22260041.

It is an arithmetic number, because the mean of its divisors is an integer number (3663555480).

Almost surely, 2274234563240 is an apocalyptic number.

274234563240 is a gapful number since it is divisible by the number (20) 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 274234563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468935101440).

274234563240 is an abundant number, since it is smaller than the sum of its proper divisors (663635639640).

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

274234563240 is a wasteful number, since it uses less digits than its factorization.

274234563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13104 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 274234563240 in words is "two hundred seventy-four billion, two hundred thirty-four million, five hundred sixty-three thousand, two hundred forty".