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234611093728 = 25112321816961
BaseRepresentation
bin1101101001111111101…
…0010011000011100000
3211102120110011102022201
43122133322103003200
512320440414444403
6255440121542544
722643611251544
oct3323772230340
9742513142281
10234611093728
11905529341a0
1239576944a54
131917bab6bab
14b4d8ab3a24
156181cd321d
hex369fe930e0

234611093728 has 144 divisors (see below), whose sum is σ = 529727273712. Its totient is φ = 101426688000.

The previous prime is 234611093713. The next prime is 234611093729. The reversal of 234611093728 is 827390116432.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234611093729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33700168 + ... + 33707128.

It is an arithmetic number, because the mean of its divisors is an integer number (3678661623).

Almost surely, 2234611093728 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 234611093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264863636856).

234611093728 is an abundant number, since it is smaller than the sum of its proper divisors (295116179984).

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

234611093728 is a wasteful number, since it uses less digits than its factorization.

234611093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7209 (or 7178 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 234611093728 in words is "two hundred thirty-four billion, six hundred eleven million, ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 181 184 253 352 362 368 506 529 724 736 1012 1058 1448 1991 2024 2116 2896 3982 4048 4163 4232 5792 5819 6961 7964 8096 8326 8464 11638 13922 15928 16652 16928 23276 27844 31856 33304 45793 46552 55688 63712 66608 76571 91586 93104 95749 111376 133216 153142 160103 183172 186208 191498 222752 306284 320206 366344 382996 612568 640412 732688 765992 1053239 1225136 1259941 1280824 1465376 1531984 1761133 2106478 2450272 2519882 2561648 3063968 3522266 3682369 4212956 5039764 5123296 7044532 7364738 8425912 10079528 13859351 14089064 14729476 16851824 20159056 27718702 28178128 28978643 29458952 33703648 40318112 40506059 55437404 56356256 57957286 58917904 81012118 110874808 115914572 117835808 162024236 221749616 231829144 318765073 324048472 443499232 463658288 637530146 648096944 666508789 927316576 1275060292 1296193888 1333017578 2550120584 2666035156 5100241168 5332070312 7331596679 10200482336 10664140624 14663193358 21328281248 29326386716 58652773432 117305546864 234611093728