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34357350431 = 1072811142693
BaseRepresentation
bin11111111111110110…
…111001000000011111
310021200102102020110102
4133333312321000133
51030330440203211
623441125131315
72324256442265
oct377766710037
9107612366412
1034357350431
1113630912998
1267aa259b3b
133317044571
14193d020435
15d6143aa3b
hex7ffdb901f

34357350431 has 8 divisors (see below), whose sum is σ = 34801888464. Its totient is φ = 33915098560.

The previous prime is 34357350413. The next prime is 34357350449. The reversal of 34357350431 is 13405375343.

It is an interprime number because it is at equal distance from previous prime (34357350413) and next prime (34357350449).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34357350431 - 214 = 34357334047 is a prime.

It is a super-2 number, since 2×343573504312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34357310431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541280 + ... + 601413.

It is an arithmetic number, because the mean of its divisors is an integer number (4350236058).

Almost surely, 234357350431 is an apocalyptic number.

34357350431 is a deficient number, since it is larger than the sum of its proper divisors (444538033).

34357350431 is a wasteful number, since it uses less digits than its factorization.

34357350431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143081.

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 34357350431 in words is "thirty-four billion, three hundred fifty-seven million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 107 281 30067 1142693 122268151 321096733 34357350431