Search a number
-
+
30547368 = 2334174759
BaseRepresentation
bin111010010000…
…1110110101000
32010110222010000
41310201312220
530310003433
63010423000
7520435245
oct164416650
963428100
1030547368
1116274765
12a291a60
136437187
1440b25cc
152a36113
hex1d21da8

30547368 has 160 divisors (see below), whose sum is σ = 94089600. Its totient is φ = 9220608.

The previous prime is 30547367. The next prime is 30547399. The reversal of 30547368 is 86374503.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30547367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 517723 + ... + 517781.

It is an arithmetic number, because the mean of its divisors is an integer number (588060).

Almost surely, 230547368 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 30547368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47044800).

30547368 is an abundant number, since it is smaller than the sum of its proper divisors (63542232).

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

30547368 is a wasteful number, since it uses less digits than its factorization.

30547368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 30547368 is about 5526.9673420421. The cubic root of 30547368 is about 312.6016497052.

The spelling of 30547368 in words is "thirty million, five hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 59 68 72 81 94 102 108 118 136 141 153 162 177 188 204 216 236 282 306 324 354 376 408 423 459 472 531 564 612 648 708 799 846 918 1003 1062 1128 1224 1269 1377 1416 1593 1598 1692 1836 2006 2124 2397 2538 2754 2773 3009 3186 3196 3384 3672 3807 4012 4248 4779 4794 5076 5508 5546 6018 6372 6392 7191 7614 8024 8319 9027 9558 9588 10152 11016 11092 12036 12744 14382 15228 16638 18054 19116 19176 21573 22184 24072 24957 27081 28764 30456 33276 36108 38232 43146 47141 49914 54162 57528 64719 66552 72216 74871 81243 86292 94282 99828 108324 129438 141423 149742 162486 172584 188564 199656 216648 224613 258876 282846 299484 324972 377128 424269 449226 517752 565692 598968 649944 848538 898452 1131384 1272807 1697076 1796904 2545614 3394152 3818421 5091228 7636842 10182456 15273684 30547368