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34357012382 = 27211311028099
BaseRepresentation
bin11111111111110101…
…100110011110011110
310021200101210001202002
4133333311212132132
51030330343344012
623441114002302
72324253533600
oct377765463636
9107611701662
1034357012382
1113630701a10
1267aa116392
133316c56734
14193cd73170
15d613c07c2
hex7ffd6679e

34357012382 has 48 divisors (see below), whose sum is σ = 67509158400. Its totient is φ = 12954034800.

The previous prime is 34357012373. The next prime is 34357012387. The reversal of 34357012382 is 28321075343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34357012387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480632 + ... + 547467.

It is an arithmetic number, because the mean of its divisors is an integer number (1406440800).

Almost surely, 234357012382 is an apocalyptic number.

34357012382 is a deficient number, since it is larger than the sum of its proper divisors (33152146018).

34357012382 is a wasteful number, since it uses less digits than its factorization.

34357012382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028157 (or 1028150 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 34357012382 in words is "thirty-four billion, three hundred fifty-seven million, twelve thousand, three hundred eighty-two".

Divisors: 1 2 7 11 14 22 31 49 62 77 98 154 217 341 434 539 682 1078 1519 2387 3038 4774 16709 33418 1028099 2056198 7196693 11309089 14393386 22618178 31871069 50376851 63742138 79163623 100753702 158327246 223097483 350581759 446194966 554145361 701163518 1108290722 1561682381 2454072313 3123364762 4908144626 17178506191 34357012382