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345110021631 = 3419241930469
BaseRepresentation
bin1010000010110100010…
…10010000010111111111
31012222210022101120010000
411001122022100113333
521123241131143011
6422312533245343
733635101532364
oct5013212202777
91188708346100
10345110021631
111233a6679211
1256a74793853
132670b781bbb
14129bc25046b
158e9cad1356
hex505a2905ff

345110021631 has 40 divisors (see below), whose sum is σ = 544920450800. Its totient is φ = 217059575040.

The previous prime is 345110021623. The next prime is 345110021647. The reversal of 345110021631 is 136120011543.

It is a happy number.

345110021631 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 1 + 0 + 0 + 21 + 631 = 666.

It is not a de Polignac number, because 345110021631 - 23 = 345110021623 is a prime.

It is a super-2 number, since 2×3451100216312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345110021595 and 345110021604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345110021131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94336 + ... + 836133.

It is an arithmetic number, because the mean of its divisors is an integer number (13623011270).

Almost surely, 2345110021631 is an apocalyptic number.

345110021631 is a deficient number, since it is larger than the sum of its proper divisors (199810429169).

345110021631 is a wasteful number, since it uses less digits than its factorization.

345110021631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930741 (or 930732 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 345110021631 in words is "three hundred forty-five billion, one hundred ten million, twenty-one thousand, six hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 171 241 513 723 1539 2169 4579 6507 13737 19521 41211 123633 370899 930469 2791407 8374221 17678911 25122663 53036733 75367989 159110199 224243029 477330597 672729087 1431991791 2018187261 4260617551 6054561783 12781852653 18163685349 38345557959 115036673877 345110021631