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30082338 = 232111322931
BaseRepresentation
bin111001011000…
…0010100100010
32002121100012200
41302300110202
530200113323
62552434030
7513460416
oct162602442
962540180
1030082338
1115a87340
12a0a8916
136303600
143dd0d46
152993443
hex1cb0522

30082338 has 144 divisors (see below), whose sum is σ = 82218240. Its totient is φ = 7862400.

The previous prime is 30082337. The next prime is 30082357. The reversal of 30082338 is 83328003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30082337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 970383 + ... + 970413.

It is an arithmetic number, because the mean of its divisors is an integer number (570960).

Almost surely, 230082338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30082338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41109120).

30082338 is an abundant number, since it is smaller than the sum of its proper divisors (52135902).

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

30082338 is a wasteful number, since it uses less digits than its factorization.

30082338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30082338 is about 5484.7368213981. The cubic root of 30082338 is about 311.0072612663.

The spelling of 30082338 in words is "thirty million, eighty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 31 33 39 58 62 66 78 87 93 99 117 143 169 174 186 198 234 261 279 286 319 338 341 377 403 429 507 522 558 638 682 754 806 858 899 957 1014 1023 1131 1209 1287 1521 1798 1859 1914 2046 2262 2418 2574 2697 2871 3042 3069 3393 3627 3718 4147 4433 4901 5239 5394 5577 5742 6138 6786 7254 8091 8294 8866 9802 9889 10478 11154 11687 12441 13299 14703 15717 16182 16731 19778 23374 24882 26598 29406 29667 31434 33462 35061 37323 39897 44109 47151 53911 57629 59334 70122 74646 79794 88218 89001 94302 105183 107822 115258 128557 151931 161733 172887 178002 210366 257114 303862 323466 345774 385671 455793 485199 518661 771342 911586 970398 1037322 1157013 1367379 1671241 2314026 2734758 3342482 5013723 10027446 15041169 30082338