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338239368 = 233319731129
BaseRepresentation
bin10100001010010…
…001111110001000
3212120110100012000
4110022101332020
51143042124433
653321351000
711244662415
oct2412217610
9776410160
10338239368
11163a22275
1295338460
13550c914c
1432cc910c
151ea64113
hex14291f88

338239368 has 128 divisors (see below), whose sum is σ = 1003440000. Its totient is φ = 105255936.

The previous prime is 338239367. The next prime is 338239423. The reversal of 338239368 is 863932833.

It is a super-2 number, since 2×3382393682 = 228811740130078848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (338239367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299028 + ... + 300156.

It is an arithmetic number, because the mean of its divisors is an integer number (7839375).

Almost surely, 2338239368 is an apocalyptic number.

338239368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338239368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501720000).

338239368 is an abundant number, since it is smaller than the sum of its proper divisors (665200632).

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

338239368 is a wasteful number, since it uses less digits than its factorization.

338239368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1226 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 338239368 is about 18391.2851100732. The cubic root of 338239368 is about 696.7463752982.

The spelling of 338239368 in words is "three hundred thirty-eight million, two hundred thirty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 108 114 146 152 171 216 219 228 292 342 438 456 513 584 657 684 876 1026 1129 1314 1368 1387 1752 1971 2052 2258 2628 2774 3387 3942 4104 4161 4516 5256 5548 6774 7884 8322 9032 10161 11096 12483 13548 15768 16644 20322 21451 24966 27096 30483 33288 37449 40644 42902 49932 60966 64353 74898 81288 82417 85804 99864 121932 128706 149796 164834 171608 193059 243864 247251 257412 299592 329668 386118 494502 514824 579177 659336 741753 772236 989004 1158354 1483506 1544472 1565923 1978008 2225259 2316708 2967012 3131846 4450518 4633416 4697769 5934024 6263692 8901036 9395538 12527384 14093307 17802072 18791076 28186614 37582152 42279921 56373228 84559842 112746456 169119684 338239368