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30806370 = 23257107457
BaseRepresentation
bin111010110000…
…1000101100010
32010222010101200
41311201011202
530341300440
63020142030
7522564330
oct165410542
963863350
1030806370
1116431311
12a397916
1364c802a
14413cb50
152a87c30
hex1d61162

30806370 has 96 divisors (see below), whose sum is σ = 92596608. Its totient is φ = 6960384.

The previous prime is 30806357. The next prime is 30806387. The reversal of 30806370 is 7360803.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 67182 + ... + 67638.

It is an arithmetic number, because the mean of its divisors is an integer number (964548).

Almost surely, 230806370 is an apocalyptic number.

30806370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30806370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46298304).

30806370 is an abundant number, since it is smaller than the sum of its proper divisors (61790238).

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

30806370 is a wasteful number, since it uses less digits than its factorization.

30806370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30806370 is about 5550.3486376984. The cubic root of 30806370 is about 313.4826497728.

The spelling of 30806370 in words is "thirty million, eight hundred six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 107 126 210 214 315 321 457 535 630 642 749 914 963 1070 1371 1498 1605 1926 2247 2285 2742 3199 3210 3745 4113 4494 4570 4815 6398 6741 6855 7490 8226 9597 9630 11235 13482 13710 15995 19194 20565 22470 28791 31990 33705 41130 47985 48899 57582 67410 95970 97798 143955 146697 244495 287910 293394 342293 440091 488990 684586 733485 880182 1026879 1466970 1711465 2053758 2200455 3080637 3422930 4400910 5134395 6161274 10268790 15403185 30806370