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338233272 = 2331341137193
BaseRepresentation
bin10100001010010…
…000011110111000
3212120110000211020
4110022100132320
51143041431042
653321302440
711244635556
oct2412203670
9776400736
10338233272
11163a18733
1295334a20
13550c6440
1432cc6bd6
151ea623ec
hex142907b8

338233272 has 128 divisors (see below), whose sum is σ = 944516160. Its totient is φ = 100270080.

The previous prime is 338233267. The next prime is 338233289. The reversal of 338233272 is 272332833.

It is a super-2 number, since 2×3382332722 = 228803492575651968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752408 + ... + 1752600.

Almost surely, 2338233272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338233272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472258080).

338233272 is an abundant number, since it is smaller than the sum of its proper divisors (606282888).

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

338233272 is a wasteful number, since it uses less digits than its factorization.

338233272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 338233272 is about 18391.1193786566. The cubic root of 338233272 is about 696.7421895136.

The spelling of 338233272 in words is "three hundred thirty-eight million, two hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 137 156 164 193 246 274 312 328 386 411 492 533 548 579 772 822 984 1066 1096 1158 1544 1599 1644 1781 2132 2316 2509 3198 3288 3562 4264 4632 5018 5343 5617 6396 7124 7527 7913 10036 10686 11234 12792 14248 15054 15826 16851 20072 21372 22468 23739 26441 30108 31652 33702 42744 44936 47478 52882 60216 63304 67404 73021 79323 94956 102869 105764 134808 146042 158646 189912 205738 211528 219063 292084 308607 317292 343733 411476 438126 584168 617214 634584 687466 822952 876252 1031199 1084081 1234428 1374932 1752504 2062398 2168162 2468856 2749864 3252243 4124796 4336324 6504486 8249592 8672648 13008972 14093053 26017944 28186106 42279159 56372212 84558318 112744424 169116636 338233272