Search a number
-
+
32013033234 = 237131719181523
BaseRepresentation
bin11101110100001000…
…000001111100010010
310001122001011120211120
4131310020001330102
51011030314030414
622412342223110
72212212202260
oct356410017422
9101561146746
1032013033234
1112638582766
126255124a96
133032453820
141799937430
15c757132a9
hex774201f12

32013033234 has 128 divisors (see below), whose sum is σ = 87828572160. Its totient is φ = 7528080384.

The previous prime is 32013033233. The next prime is 32013033259. The reversal of 32013033234 is 43233031023.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32013033233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85597 + ... + 267119.

It is an arithmetic number, because the mean of its divisors is an integer number (686160720).

Almost surely, 232013033234 is an apocalyptic number.

32013033234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013033234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43914286080).

32013033234 is an abundant number, since it is smaller than the sum of its proper divisors (55815538926).

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

32013033234 is a wasteful number, since it uses less digits than its factorization.

32013033234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181584.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 32013033234 its reverse (43233031023), we get a palindrome (75246064257).

The spelling of 32013033234 in words is "thirty-two billion, thirteen million, thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 17 19 21 26 34 38 39 42 51 57 78 91 102 114 119 133 182 221 238 247 266 273 323 357 399 442 494 546 646 663 714 741 798 969 1326 1482 1547 1729 1938 2261 3094 3458 4199 4522 4641 5187 6783 8398 9282 10374 12597 13566 25194 29393 58786 88179 176358 181523 363046 544569 1089138 1270661 2359799 2541322 3085891 3448937 3811983 4719598 6171782 6897874 7079397 7623966 9257673 10346811 14158794 16518593 18515346 20693622 21601237 24142559 33037186 40116583 43202474 44836181 48285118 49555779 58631929 64803711 72427677 80233166 89672362 99111558 117263858 120349749 129607422 134508543 144855354 175895787 240699498 269017086 280816081 313853267 351791574 410423503 561632162 627706534 762215077 820847006 842448243 941559801 1231270509 1524430154 1684896486 1883119602 2286645231 2462541018 4573290462 5335505539 10671011078 16006516617 32013033234