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345407157 = 32109352097
BaseRepresentation
bin10100100101100…
…111111010110101
3220001221111112200
4110211213322311
51201411012112
654135135113
711362624644
oct2445477265
9801844480
10345407157
11167a78567
1297814499
1356738844
1433c3335b
15204cccdc
hex14967eb5

345407157 has 12 divisors (see below), whose sum is σ = 503500140. Its totient is φ = 228158208.

The previous prime is 345407149. The next prime is 345407189. The reversal of 345407157 is 751704543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 170929476 + 174477681 = 13074^2 + 13209^2 .

It is not a de Polignac number, because 345407157 - 23 = 345407149 is a prime.

It is a super-2 number, since 2×3454071572 = 238612208213645298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345407357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175068 + ... + 177029.

It is an arithmetic number, because the mean of its divisors is an integer number (41958345).

Almost surely, 2345407157 is an apocalyptic number.

It is an amenable number.

345407157 is a deficient number, since it is larger than the sum of its proper divisors (158092983).

345407157 is a wasteful number, since it uses less digits than its factorization.

345407157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352212 (or 352209 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 345407157 is about 18585.1326871777. The cubic root of 345407157 is about 701.6337059523.

The spelling of 345407157 in words is "three hundred forty-five million, four hundred seven thousand, one hundred fifty-seven".

Divisors: 1 3 9 109 327 981 352097 1056291 3168873 38378573 115135719 345407157