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312429341 = 7212015309
BaseRepresentation
bin10010100111110…
…100101100011101
3210202220001111002
4102213310230131
51114440214331
651000240045
710512414500
oct2247645435
9722801432
10312429341
111503a3874
1288770025
134c960343
142d6cb137
151c6669cb
hex129f4b1d

312429341 has 12 divisors (see below), whose sum is σ = 363809340. Its totient is φ = 267523200.

The previous prime is 312429319. The next prime is 312429353. The reversal of 312429341 is 143924213.

It can be written as a sum of positive squares in 2 ways, for example, as 765625 + 311663716 = 875^2 + 17654^2 .

It is not a de Polignac number, because 312429341 - 26 = 312429277 is a prime.

It is a super-2 number, since 2×3124293412 = 195224186235388562, which 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 (312429361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56195 + ... + 61503.

It is an arithmetic number, because the mean of its divisors is an integer number (30317445).

Almost surely, 2312429341 is an apocalyptic number.

It is an amenable number.

312429341 is a deficient number, since it is larger than the sum of its proper divisors (51379999).

312429341 is a wasteful number, since it uses less digits than its factorization.

312429341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524 (or 6517 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 312429341 is about 17675.6708783571. The cubic root of 312429341 is about 678.5532541509.

The spelling of 312429341 in words is "three hundred twelve million, four hundred twenty-nine thousand, three hundred forty-one".

Divisors: 1 7 49 1201 5309 8407 37163 58849 260141 6376109 44632763 312429341