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345600431 = 11317912829
BaseRepresentation
bin10100100110010…
…111000110101111
3220002022022122222
4110212113012233
51201433203211
654143225555
711364361301
oct2446270657
9802268588
10345600431
1116809a7a0
12978a82bb
13567a57c7
1433c83971
152051a1db
hex149971af

345600431 has 16 divisors (see below), whose sum is σ = 394137600. Its totient is φ = 300175200.

The previous prime is 345600421. The next prime is 345600473. The reversal of 345600431 is 134006543.

It is a cyclic number.

It is not a de Polignac number, because 345600431 - 214 = 345584047 is a prime.

It is a super-2 number, since 2×3456004312 = 238879315814771522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 345600431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345600421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20525 + ... + 33353.

It is an arithmetic number, because the mean of its divisors is an integer number (24633600).

Almost surely, 2345600431 is an apocalyptic number.

345600431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

345600431 is a deficient number, since it is larger than the sum of its proper divisors (48537169).

345600431 is a wasteful number, since it uses less digits than its factorization.

345600431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12950.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 345600431 is about 18590.3316538463. The cubic root of 345600431 is about 701.7645488959.

Adding to 345600431 its reverse (134006543), we get a palindrome (479606974).

The spelling of 345600431 in words is "three hundred forty-five million, six hundred thousand, four hundred thirty-one".

Divisors: 1 11 31 79 341 869 2449 12829 26939 141119 397699 1013491 4374689 11148401 31418221 345600431