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30417930 = 234517472
BaseRepresentation
bin111010000001…
…0010000001010
32010020101120000
41310002100022
530241333210
63003543430
7516356004
oct164022012
963211500
1030417930
1116196494
12a22ab76
1363c029a
14407b374
152a0cac0
hex1d0240a

30417930 has 120 divisors (see below), whose sum is σ = 88483428. Its totient is φ = 7471872.

The previous prime is 30417911. The next prime is 30417943. The reversal of 30417930 is 3971403.

It can be written as a sum of positive squares in 2 ways, for example, as 30239001 + 178929 = 5499^2 + 423^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30417894 and 30417903.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 647167 + ... + 647213.

Almost surely, 230417930 is an apocalyptic number.

30417930 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 30417930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241714).

30417930 is an abundant number, since it is smaller than the sum of its proper divisors (58065498).

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

30417930 is a wasteful number, since it uses less digits than its factorization.

30417930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 30417930 is about 5515.2452348014. The cubic root of 30417930 is about 312.1594968524.

The spelling of 30417930 in words is "thirty million, four hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 47 51 54 81 85 90 94 102 135 141 153 162 170 235 255 270 282 306 405 423 459 470 510 705 765 799 810 846 918 1269 1377 1410 1530 1598 2115 2209 2295 2397 2538 2754 3807 3995 4230 4418 4590 4794 6345 6627 6885 7191 7614 7990 11045 11985 12690 13254 13770 14382 19035 19881 21573 22090 23970 33135 35955 37553 38070 39762 43146 59643 64719 66270 71910 75106 99405 107865 112659 119286 129438 178929 187765 198810 215730 225318 298215 323595 337977 357858 375530 563295 596430 647190 675954 894645 1013931 1126590 1689885 1789290 2027862 3041793 3379770 5069655 6083586 10139310 15208965 30417930