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234953928 = 2332112149181
BaseRepresentation
bin11100000000100…
…01110011001000
3121101002220012100
432000101303020
5440122011203
635151513400
75552034606
oct1600216310
9541086170
10234953928
11110697400
1266828860
13398a50c1
14232c0876
1515960ea3
hexe011cc8

234953928 has 144 divisors (see below), whose sum is σ = 708025500. Its totient is φ = 70329600.

The previous prime is 234953921. The next prime is 234953933. The reversal of 234953928 is 829359432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 169052004 + 65901924 = 13002^2 + 8118^2 .

It is not an unprimeable number, because it can be changed into a prime (234953921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1297998 + ... + 1298178.

Almost surely, 2234953928 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 234953928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354012750).

234953928 is an abundant number, since it is smaller than the sum of its proper divisors (473071572).

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

234953928 is a wasteful number, since it uses less digits than its factorization.

234953928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 346 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 234953928 is about 15328.2069401480. The cubic root of 234953928 is about 617.0602489003.

The spelling of 234953928 in words is "two hundred thirty-four million, nine hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 149 181 198 242 264 298 362 363 396 447 484 543 596 724 726 792 894 968 1086 1089 1192 1341 1448 1452 1629 1639 1788 1991 2172 2178 2682 2904 3258 3278 3576 3982 4344 4356 4917 5364 5973 6516 6556 7964 8712 9834 10728 11946 13032 13112 14751 15928 17919 18029 19668 21901 23892 26969 29502 35838 36058 39336 43802 47784 53938 54087 59004 65703 71676 72116 80907 87604 107876 108174 118008 131406 143352 144232 161814 162261 175208 197109 215752 216348 242721 262812 296659 323628 324522 394218 432696 485442 525624 593318 647256 649044 788436 889977 970884 1186636 1298088 1576872 1779954 1941768 2373272 2669931 3263249 3559908 5339862 6526498 7119816 9789747 10679724 13052996 19579494 21359448 26105992 29369241 39158988 58738482 78317976 117476964 234953928