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234413032 = 237192971107
BaseRepresentation
bin11011111100011…
…01101111101000
3121100002102020011
431332031233220
5440002204112
635132141304
75544322630
oct1576155750
9540072204
10234413032
11110357a87
1266607834
1339745b49
14231bd6c0
15158a5aa7
hexdf8dbe8

234413032 has 128 divisors (see below), whose sum is σ = 559872000. Its totient is φ = 89752320.

The previous prime is 234413029. The next prime is 234413063. The reversal of 234413032 is 230314432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 234412994 and 234413012.

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, 2190723 + ... + 2190829.

It is an arithmetic number, because the mean of its divisors is an integer number (4374000).

Almost surely, 2234413032 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 234413032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279936000).

234413032 is an abundant number, since it is smaller than the sum of its proper divisors (325458968).

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

234413032 is a wasteful number, since it uses less digits than its factorization.

234413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 234413032 is about 15310.5529619279. The cubic root of 234413032 is about 616.5863661043.

Adding to 234413032 its reverse (230314432), we get a palindrome (464727464).

It can be divided in two parts, 2344 and 13032, that added together give a square (15376 = 1242).

The spelling of 234413032 in words is "two hundred thirty-four million, four hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 71 76 107 116 133 142 152 203 214 232 266 284 406 428 497 532 551 568 749 812 856 994 1064 1102 1349 1498 1624 1988 2033 2059 2204 2698 2996 3103 3857 3976 4066 4118 4408 5396 5992 6206 7597 7714 8132 8236 9443 10792 12412 14231 14413 15194 15428 16264 16472 18886 21721 24824 28462 28826 30388 30856 37772 39121 43442 53179 56924 57652 58957 60776 75544 78242 86884 106358 113848 115304 117914 144343 156484 173768 212716 220313 235828 273847 288686 312968 412699 425432 440626 471656 547694 577372 825398 881252 1010401 1095388 1154744 1542191 1650796 1762504 2020802 2190776 3084382 3301592 4041604 4185947 6168764 8083208 8371894 12337528 16743788 29301629 33487576 58603258 117206516 234413032