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338190552 = 23347210651
BaseRepresentation
bin10100001010000…
…110000011011000
3212120100212020000
4110022012003120
51143034044202
653320333000
711244400200
oct2412060330
9776325200
10338190552
11163999627
1295314160
13550acb6b
1432cb5400
151ea5491c
hex142860d8

338190552 has 120 divisors (see below), whose sum is σ = 1102002660. Its totient is φ = 96616800.

The previous prime is 338190533. The next prime is 338190577. The reversal of 338190552 is 255091833.

It is a super-2 number, since 2×3381905522 = 228745698924129408, 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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26427 + ... + 37077.

Almost surely, 2338190552 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 338190552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551001330).

338190552 is an abundant number, since it is smaller than the sum of its proper divisors (763812108).

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

338190552 is a wasteful number, since it uses less digits than its factorization.

338190552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10683 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 338190552 is about 18389.9579118605. The cubic root of 338190552 is about 696.7128546511.

The spelling of 338190552 in words is "three hundred thirty-eight million, one hundred ninety thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 10651 15876 21302 31752 31953 42604 63906 74557 85208 95859 127812 149114 191718 223671 255624 287577 298228 383436 447342 521899 575154 596456 671013 766872 862731 894684 1043798 1150308 1342026 1565697 1725462 1789368 2013039 2087596 2300616 2684052 3131394 3450924 4026078 4175192 4697091 5368104 6039117 6262788 6901848 8052156 9394182 12078234 12525576 14091273 16104312 18788364 24156468 28182546 37576728 42273819 48312936 56365092 84547638 112730184 169095276 338190552