Search a number
-
+
332634540 = 2235742309
BaseRepresentation
bin10011110100111…
…001100110101100
3212011220120210210
4103310321212230
51140123301130
653001302420
711146230000
oct2364714654
9764816723
10332634540
11160844287
1293494a10
1353bb5c94
143226a700
151e3085b0
hex13d399ac

332634540 has 120 divisors (see below), whose sum is σ = 1087012080. Its totient is φ = 75997824.

The previous prime is 332634527. The next prime is 332634571. The reversal of 332634540 is 45436233.

It is a super-2 number, since 2×3326345402 = 221291474402023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332634498 and 332634507.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142906 + ... + 145214.

It is an arithmetic number, because the mean of its divisors is an integer number (9058434).

Almost surely, 2332634540 is an apocalyptic number.

332634540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332634540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543506040).

332634540 is an abundant number, since it is smaller than the sum of its proper divisors (754377540).

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

332634540 is a wasteful number, since it uses less digits than its factorization.

332634540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 332634540 is about 18238.2712996600. The cubic root of 332634540 is about 692.8764191429.

The spelling of 332634540 in words is "three hundred thirty-two million, six hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2309 2401 2940 3430 4116 4618 4802 5145 6860 6927 7203 9236 9604 10290 11545 12005 13854 14406 16163 20580 23090 24010 27708 28812 32326 34635 36015 46180 48020 48489 64652 69270 72030 80815 96978 113141 138540 144060 161630 193956 226282 242445 323260 339423 452564 484890 565705 678846 791987 969780 1131410 1357692 1583974 1697115 2262820 2375961 3167948 3394230 3959935 4751922 5543909 6788460 7919870 9503844 11087818 11879805 15839740 16631727 22175636 23759610 27719545 33263454 47519220 55439090 66526908 83158635 110878180 166317270 332634540