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30974320 = 2451322979
BaseRepresentation
bin111011000101…
…0000101110000
32011021122210001
41312022011300
530412134240
63023515344
7524164066
oct166120560
964248701
1030974320
1116536513
12a458b54
136556600
144184036
152abc89a
hex1d8a170

30974320 has 120 divisors (see below), whose sum is σ = 81691200. Its totient is φ = 10902528.

The previous prime is 30974309. The next prime is 30974327. The reversal of 30974320 is 2347903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30974327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392041 + ... + 392119.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 230974320 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 30974320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845600).

30974320 is an abundant number, since it is smaller than the sum of its proper divisors (50716880).

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

30974320 is a wasteful number, since it uses less digits than its factorization.

30974320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 30974320 is about 5565.4577529616. The cubic root of 30974320 is about 314.0512986360.

The spelling of 30974320 in words is "thirty million, nine hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 79 80 104 116 130 145 158 169 208 232 260 290 316 338 377 395 464 520 580 632 676 754 790 845 1027 1040 1160 1264 1352 1508 1580 1690 1885 2054 2291 2320 2704 3016 3160 3380 3770 4108 4582 4901 5135 6032 6320 6760 7540 8216 9164 9802 10270 11455 13351 13520 15080 16432 18328 19604 20540 22910 24505 26702 29783 30160 36656 39208 41080 45820 49010 53404 59566 66755 78416 82160 91640 98020 106808 119132 133510 148915 183280 196040 213616 238264 267020 297830 387179 392080 476528 534040 595660 774358 1068080 1191320 1548716 1935895 2382640 3097432 3871790 6194864 7743580 15487160 30974320