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34356242445 = 3572275316979
BaseRepresentation
bin11111111111110010…
…101010100000001101
310021200100022221120220
4133333302222200031
51030330144224240
623441045301553
72324244146100
oct377762524015
9107610287526
1034356242445
11136302264a8
1267a9a048b9
133316a47155
14193cc12737
15d612bc5d0
hex7ffcaa80d

34356242445 has 48 divisors (see below), whose sum is σ = 63971674560. Its totient is φ = 15699081216.

The previous prime is 34356242423. The next prime is 34356242449. The reversal of 34356242445 is 54424265343.

It is a happy number.

It is not a de Polignac number, because 34356242445 - 26 = 34356242381 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34356242397 and 34356242406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34356242449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2014966 + ... + 2031944.

It is an arithmetic number, because the mean of its divisors is an integer number (1332743220).

Almost surely, 234356242445 is an apocalyptic number.

34356242445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34356242445 is a deficient number, since it is larger than the sum of its proper divisors (29615432115).

34356242445 is a wasteful number, since it uses less digits than its factorization.

34356242445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19754 (or 19747 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 42.

The spelling of 34356242445 in words is "thirty-four billion, three hundred fifty-six million, two hundred forty-two thousand, four hundred forty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 735 2753 8259 13765 16979 19271 41295 50937 57813 84895 96355 118853 134897 254685 289065 356559 404691 594265 674485 831971 1782795 2023455 2495913 4159855 12479565 46743187 140229561 233715935 327202309 701147805 981606927 1636011545 2290416163 4908034635 6871248489 11452080815 34356242445