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338372145 = 3252928941
BaseRepresentation
bin10100001010110…
…010011000110001
3212120201002022200
4110022302120301
51143110402040
653324253413
711246054466
oct2412623061
9776632280
10338372145
11164003001
12953a1269
1355144707
1432d2166d
151ea8d630
hex142b2631

338372145 has 36 divisors (see below), whose sum is σ = 607501596. Its totient is φ = 174222720.

The previous prime is 338371991. The next prime is 338372179. The reversal of 338372145 is 541273833.

It can be written as a sum of positive squares in 6 ways, for example, as 400689 + 337971456 = 633^2 + 18384^2 .

It is not a de Polignac number, because 338372145 - 28 = 338371889 is a prime.

It is a super-2 number, since 2×3383721452 = 228991417023802050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33375 + ... + 42315.

Almost surely, 2338372145 is an apocalyptic number.

It is an amenable number.

338372145 is a deficient number, since it is larger than the sum of its proper divisors (269129451).

338372145 is a wasteful number, since it uses less digits than its factorization.

338372145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 8978 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 338372145 is about 18394.8945362565. The cubic root of 338372145 is about 696.8375334144.

The spelling of 338372145 in words is "three hundred thirty-eight million, three hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 841 1305 2523 4205 7569 8941 12615 26823 37845 44705 80469 134115 259289 402345 777867 1296445 2333601 3889335 7519381 11668005 22558143 37596905 67674429 112790715 338372145