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23480352 = 2532719613
BaseRepresentation
bin101100110010…
…0100000100000
31122011220222200
41121210200200
522002332402
62155133200
7403402560
oct131444040
948156880
1023480352
1112288155
127a44200
134b315cc
143192da0
1520dc21c
hex1664820

23480352 has 144 divisors (see below), whose sum is σ = 80458560. Its totient is φ = 6345216.

The previous prime is 23480323. The next prime is 23480363. The reversal of 23480352 is 25308432.

23480352 is a `hidden beast` number, since 234 + 80 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37998 + ... + 38610.

It is an arithmetic number, because the mean of its divisors is an integer number (558740).

Almost surely, 223480352 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 23480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40229280).

23480352 is an abundant number, since it is smaller than the sum of its proper divisors (56978208).

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

23480352 is a wasteful number, since it uses less digits than its factorization.

23480352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23480352 is about 4845.6528971853. The cubic root of 23480352 is about 286.3528661654.

Adding to 23480352 its reverse (25308432), we get a palindrome (48788784).

It can be divided in two parts, 23480 and 352, that added together give a palindrome (23832).

The spelling of 23480352 in words is "twenty-three million, four hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 613 672 684 798 912 1008 1064 1197 1226 1368 1596 1824 1839 2016 2128 2394 2452 2736 3192 3678 4256 4291 4788 4904 5472 5517 6384 7356 8582 9576 9808 11034 11647 12768 12873 14712 17164 19152 19616 22068 23294 25746 29424 34328 34941 38304 38619 44136 46588 51492 58848 68656 69882 77238 81529 88272 93176 102984 104823 137312 139764 154476 163058 176544 186352 205968 209646 244587 279528 308952 326116 372704 411936 419292 489174 559056 617904 652232 733761 838584 978348 1118112 1235808 1304464 1467522 1677168 1956696 2608928 2935044 3354336 3913392 5870088 7826784 11740176 23480352