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30822768 = 2434171399
BaseRepresentation
bin111010110010…
…1000101110000
32010222221220000
41311211011300
530342312033
63020350000
7522663204
oct165450560
963887800
1030822768
1116442669
12a3a5300
136502632
144144b04
152a8ca13
hex1d65170

30822768 has 100 divisors (see below), whose sum is σ = 94525200. Its totient is φ = 9662976.

The previous prime is 30822761. The next prime is 30822791. The reversal of 30822768 is 86722803.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30822761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21333 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 230822768 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 30822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262600).

30822768 is an abundant number, since it is smaller than the sum of its proper divisors (63702432).

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

30822768 is a wasteful number, since it uses less digits than its factorization.

30822768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 30822768 is about 5551.8256456773. The cubic root of 30822768 is about 313.5382613955.

The spelling of 30822768 in words is "thirty million, eight hundred twenty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1399 1836 2448 2754 2798 3672 4197 5508 5596 7344 8394 11016 11192 12591 16788 22032 22384 23783 25182 33576 37773 47566 50364 67152 71349 75546 95132 100728 113319 142698 151092 190264 201456 214047 226638 285396 302184 380528 428094 453276 570792 604368 642141 856188 906552 1141584 1284282 1712376 1813104 1926423 2568564 3424752 3852846 5137128 7705692 10274256 15411384 30822768