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349140376760 = 23577915783923
BaseRepresentation
bin1010001010010100110…
…00110101110010111000
31020101012012012210222012
411011022120311302320
521210014414024020
6424220505545052
734140011144030
oct5051230656270
91211165183865
10349140376760
1112508470571a
12577ba4a5188
1326c01771116
1412c816268c0
1591368507c5
hex514a635cb8

349140376760 has 64 divisors (see below), whose sum is σ = 909154022400. Its totient is φ = 118190007936.

The previous prime is 349140376747. The next prime is 349140376789. The reversal of 349140376760 is 67673041943.

It is a happy number.

It is a super-2 number, since 2×3491403767602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 349140376699 and 349140376708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7869842 + ... + 7914081.

It is an arithmetic number, because the mean of its divisors is an integer number (14205531600).

Almost surely, 2349140376760 is an apocalyptic number.

It is an amenable number.

349140376760 is an abundant number, since it is smaller than the sum of its proper divisors (560013645640).

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

349140376760 is a wasteful number, since it uses less digits than its factorization.

349140376760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784020 (or 15784016 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The spelling of 349140376760 in words is "three hundred forty-nine billion, one hundred forty million, three hundred seventy-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 22120 15783923 31567846 63135692 78919615 110487461 126271384 157839230 220974922 315678460 441949844 552437305 631356920 883899688 1104874610 1246929917 2209749220 2493859834 4419498440 4987719668 6234649585 8728509419 9975439336 12469299170 17457018838 24938598340 34914037676 43642547095 49877196680 69828075352 87285094190 174570188380 349140376760