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338352372 = 223273128749
BaseRepresentation
bin10100001010101…
…101100011110100
3212120200002012100
4110022231203310
51143104233442
653324022100
711245643031
oct2412554364
9776602170
10338352372
11163a9a166
1295391930
1355138707
1432d18388
151ea8784c
hex142ad8f4

338352372 has 36 divisors (see below), whose sum is σ = 867002500. Its totient is φ = 111238272.

The previous prime is 338352341. The next prime is 338352373. The reversal of 338352372 is 273253833.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 243172836 = 9756^2 + 15594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3383523722 = 228964655276052768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338352373) 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, 61747 + ... + 67002.

Almost surely, 2338352372 is an apocalyptic number.

It is an amenable number.

338352372 is an abundant number, since it is smaller than the sum of its proper divisors (528650128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338352372 is a wasteful number, since it uses less digits than its factorization.

338352372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128832 (or 128827 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 338352372 is about 18394.3570694928. The cubic root of 338352372 is about 696.8239597627.

It can be divided in two parts, 338352 and 372, that added together give a square (338724 = 5822).

The spelling of 338352372 in words is "three hundred thirty-eight million, three hundred fifty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 128749 257498 386247 514996 772494 1158741 1544988 2317482 4634964 9398677 18797354 28196031 37594708 56392062 84588093 112784124 169176186 338352372