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253234332 = 2232132107389
BaseRepresentation
bin11110001100000…
…00110010011100
3122122111122012100
433012000302130
51004311444312
641043405100
76163312341
oct1706006234
9578448170
10253234332
1111aa4277a
1270983790
1340605900
14258bc7c8
15173725dc
hexf180c9c

253234332 has 108 divisors (see below), whose sum is σ = 701424360. Its totient is φ = 76991616.

The previous prime is 253234309. The next prime is 253234349. The reversal of 253234332 is 233432352.

253234332 is a `hidden beast` number, since 2 + 5 + 323 + 4 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253234296 and 253234305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 650794 + ... + 651182.

It is an arithmetic number, because the mean of its divisors is an integer number (6494670).

Almost surely, 2253234332 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 253234332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350712180).

253234332 is an abundant number, since it is smaller than the sum of its proper divisors (448190028).

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

253234332 is a wasteful number, since it uses less digits than its factorization.

253234332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its digits is 12960, while the sum is 27.

The square root of 253234332 is about 15913.3381790245. The cubic root of 253234332 is about 632.6655616002.

Adding to 253234332 its reverse (233432352), we get a palindrome (486666684).

It can be divided in two parts, 2532343 and 32, that added together give a triangular number (2532375 = T2250).

The spelling of 253234332 in words is "two hundred fifty-three million, two hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 169 214 234 321 338 389 428 468 507 642 676 778 963 1014 1167 1284 1391 1521 1556 1926 2028 2334 2782 3042 3501 3852 4173 4668 5057 5564 6084 7002 8346 10114 12519 14004 15171 16692 18083 20228 25038 30342 36166 41623 45513 50076 54249 60684 65741 72332 83246 91026 108498 124869 131482 162747 166492 182052 197223 216996 249738 262964 325494 374607 394446 499476 541099 591669 650988 749214 788892 1082198 1183338 1498428 1623297 2164396 2366676 3246594 4869891 6493188 7034287 9739782 14068574 19479564 21102861 28137148 42205722 63308583 84411444 126617166 253234332