Search a number
-
+
30868736 = 281741173
BaseRepresentation
bin111010111000…
…0010100000000
32011002021221112
41311300110000
530400244421
63021342452
7523244213
oct165602400
964067845
1030868736
1116474158
12a407a28
13651a532
14415777a
152a9b45b
hex1d70500

30868736 has 72 divisors (see below), whose sum is σ = 67218984. Its totient is φ = 14090240.

The previous prime is 30868723. The next prime is 30868757. The reversal of 30868736 is 63786803.

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 23814400 = 2656^2 + 4880^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 30868693 and 30868702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178346 + ... + 178518.

It is an arithmetic number, because the mean of its divisors is an integer number (933597).

Almost surely, 230868736 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 30868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33609492).

30868736 is an abundant number, since it is smaller than the sum of its proper divisors (36350248).

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

30868736 is a wasteful number, since it uses less digits than its factorization.

30868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 30868736 is about 5555.9640027632. The cubic root of 30868736 is about 313.6940506468.

The spelling of 30868736 in words is "thirty million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 173 256 272 328 346 544 656 692 697 1088 1312 1384 1394 2176 2624 2768 2788 2941 4352 5248 5536 5576 5882 7093 10496 11072 11152 11764 14186 22144 22304 23528 28372 44288 44608 47056 56744 89216 94112 113488 120581 178432 188224 226976 241162 376448 453952 482324 752896 907904 964648 1815808 1929296 3858592 7717184 15434368 30868736