Search a number
-
+
30784768 = 28741419
BaseRepresentation
bin111010101101…
…1110100000000
32010221000202121
41311123310000
530340103033
63015454024
7522444340
oct165336400
963830677
1030784768
1116417063
12a387314
1364bb251
144134d20
152a8162d
hex1d5bd00

30784768 has 72 divisors (see below), whose sum is σ = 72112320. Its totient is φ = 12840960.

The previous prime is 30784763. The next prime is 30784771. The reversal of 30784768 is 86748703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30784763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73263 + ... + 73681.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 230784768 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 30784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36056160).

30784768 is an abundant number, since it is smaller than the sum of its proper divisors (41327552).

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

30784768 is an equidigital number, since it uses as much as digits as its factorization.

30784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 30784768 is about 5548.4022925523. The cubic root of 30784768 is about 313.4093593497.

The spelling of 30784768 in words is "thirty million, seven hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 419 448 574 656 838 896 1148 1312 1676 1792 2296 2624 2933 3352 4592 5248 5866 6704 9184 10496 11732 13408 17179 18368 23464 26816 34358 36736 46928 53632 68716 73472 93856 107264 120253 137432 187712 240506 274864 375424 481012 549728 750848 962024 1099456 1924048 2198912 3848096 4397824 7696192 15392384 30784768