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30164736 = 283731181
BaseRepresentation
bin111001100010…
…0011100000000
32002202112020110
41303010130000
530210232421
62554311320
7514252560
oct163043400
962675213
1030164736
1116033238
12a128540
136331c74
144012da0
1529aca76
hex1cc4700

30164736 has 144 divisors (see below), whose sum is σ = 95234048. Its totient is φ = 8294400.

The previous prime is 30164711. The next prime is 30164737. The reversal of 30164736 is 63746103.

It is a super-2 number, since 2×301647362 = 1819822595899392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30164737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166566 + ... + 166746.

Almost surely, 230164736 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 30164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47617024).

30164736 is an abundant number, since it is smaller than the sum of its proper divisors (65069312).

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

30164736 is a wasteful number, since it uses less digits than its factorization.

30164736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 30164736 is about 5492.2432575406. The cubic root of 30164736 is about 311.2909605615.

The spelling of 30164736 in words is "thirty million, one hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 181 186 192 217 224 248 256 336 362 372 384 434 448 496 543 651 672 724 744 768 868 896 992 1086 1267 1302 1344 1448 1488 1736 1792 1984 2172 2534 2604 2688 2896 2976 3472 3801 3968 4344 5068 5208 5376 5611 5792 5952 6944 7602 7936 8688 10136 10416 11222 11584 11904 13888 15204 16833 17376 20272 20832 22444 23168 23808 27776 30408 33666 34752 39277 40544 41664 44888 46336 55552 60816 67332 69504 78554 81088 83328 89776 117831 121632 134664 139008 157108 162176 166656 179552 235662 243264 269328 314216 324352 359104 471324 486528 538656 628432 718208 942648 973056 1077312 1256864 1436416 1885296 2154624 2513728 3770592 4309248 5027456 7541184 10054912 15082368 30164736