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332013024 = 2532733361
BaseRepresentation
bin10011110010100…
…001110111100000
3212010202000020200
4103302201313200
51134443404044
652540105200
711141031000
oct2362416740
9763660220
10332013024
1116045a332
1293235200
1353a29115
1432148000
151e234369
hex13ca1de0

332013024 has 144 divisors (see below), whose sum is σ = 1101391200. Its totient is φ = 94832640.

The previous prime is 332013013. The next prime is 332013079. The reversal of 332013024 is 420310233.

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

It is a super-2 number, since 2×3320130242 = 220465296211249152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 332012988 and 332013006.

It is a congruent number.

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, 97104 + ... + 100464.

It is an arithmetic number, because the mean of its divisors is an integer number (7648550).

Almost surely, 2332013024 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 332013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550695600).

332013024 is an abundant number, since it is smaller than the sum of its proper divisors (769378176).

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

332013024 is a wasteful number, since it uses less digits than its factorization.

332013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 332013024 is about 18221.2245472142. The cubic root of 332013024 is about 692.4446116430. Note that the first 3 decimals are identical.

Adding to 332013024 its reverse (420310233), we get a palindrome (752323257).

The spelling of 332013024 in words is "three hundred thirty-two million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3361 3528 4116 4704 5488 6174 6722 7056 8232 10083 10976 12348 13444 14112 16464 20166 23527 24696 26888 30249 32928 40332 47054 49392 53776 60498 70581 80664 94108 98784 107552 120996 141162 161328 164689 188216 211743 241992 282324 322656 329378 376432 423486 483984 494067 564648 658756 752864 846972 967968 988134 1129296 1152823 1317512 1482201 1693944 1976268 2258592 2305646 2635024 2964402 3387888 3458469 3952536 4611292 5270048 5928804 6775776 6916938 7905072 9222584 10375407 11857608 13833876 15810144 18445168 20750814 23715216 27667752 36890336 41501628 47430432 55335504 83003256 110671008 166006512 332013024