Search a number
-
+
30818664 = 2333612339
BaseRepresentation
bin111010110010…
…0000101101000
32010222202021000
41311210011220
530342144124
63020315000
7522645222
oct165440550
963882230
1030818664
111643a578
12a3a2a60
1365007c6
144143412
152a8b6c9
hex1d64168

30818664 has 64 divisors (see below), whose sum is σ = 87048000. Its totient is φ = 10100160.

The previous prime is 30818651. The next prime is 30818687. The reversal of 30818664 is 46681803.

It is a happy number.

It is a super-3 number, since 3×308186643 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12007 + ... + 14345.

It is an arithmetic number, because the mean of its divisors is an integer number (1360125).

Almost surely, 230818664 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 30818664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524000).

30818664 is an abundant number, since it is smaller than the sum of its proper divisors (56229336).

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

30818664 is a wasteful number, since it uses less digits than its factorization.

30818664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30818664 is about 5551.4560252244. The cubic root of 30818664 is about 313.5243450795.

The spelling of 30818664 in words is "thirty million, eight hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 2339 3294 4392 4678 6588 7017 9356 13176 14034 18712 21051 28068 42102 56136 63153 84204 126306 142679 168408 252612 285358 428037 505224 570716 856074 1141432 1284111 1712148 2568222 3424296 3852333 5136444 7704666 10272888 15409332 30818664