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357240345740 = 22519471071311427
BaseRepresentation
bin1010011001011010010…
…11110001010010001100
31021011002200201212112022
411030231023301102030
521323112012030430
6432040340225312
734544514556655
oct5145513612214
91234080655468
10357240345740
11128560953263
125929b09b238
13278c2916885
141340d2b452c
15945c9e64e5
hex532d2f148c

357240345740 has 192 divisors, whose sum is σ = 820817141760. Its totient is φ = 130163454720.

The previous prime is 357240345703. The next prime is 357240345767. The reversal of 357240345740 is 47543042753.

It is a super-2 number, since 2×3572403457402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 357240345691 and 357240345700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250342907 + ... + 250344333.

It is an arithmetic number, because the mean of its divisors is an integer number (4275089280).

Almost surely, 2357240345740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357240345740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410408570880).

357240345740 is an abundant number, since it is smaller than the sum of its proper divisors (463576796020).

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

357240345740 is a wasteful number, since it uses less digits than its factorization.

357240345740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 44.

The spelling of 357240345740 in words is "three hundred fifty-seven billion, two hundred forty million, three hundred forty-five thousand, seven hundred forty".