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30204240 = 24351117673
BaseRepresentation
bin111001100111…
…0000101010000
32002211112102120
41303032011100
530213013430
62555214240
7514506003
oct163160520
962745376
1030204240
111605a990
12a147380
136346c41
14402353a
1529b9610
hex1cce150

30204240 has 160 divisors (see below), whose sum is σ = 108314496. Its totient is φ = 6881280.

The previous prime is 30204233. The next prime is 30204263. The reversal of 30204240 is 4240203.

It is a happy number.

It is a super-2 number, since 2×302042402 = 1824592227955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 44544 + ... + 45216.

Almost surely, 230204240 is an apocalyptic number.

30204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54157248).

30204240 is an abundant number, since it is smaller than the sum of its proper divisors (78110256).

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

30204240 is a wasteful number, since it uses less digits than its factorization.

30204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30204240 is about 5495.8384255726. The cubic root of 30204240 is about 311.4267910648.

Adding to 30204240 its reverse (4240203), we get a palindrome (34444443).

It can be divided in two parts, 3020 and 4240, that added together give a triangular number (7260 = T120).

The spelling of 30204240 in words is "thirty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 673 680 748 816 880 935 1020 1122 1320 1346 1360 1496 1870 2019 2040 2244 2640 2692 2805 2992 3365 3740 4038 4080 4488 5384 5610 6730 7403 7480 8076 8976 10095 10768 11220 11441 13460 14806 14960 16152 20190 22209 22440 22882 26920 29612 32304 34323 37015 40380 44418 44880 45764 53840 57205 59224 68646 74030 80760 88836 91528 111045 114410 118448 125851 137292 148060 161520 171615 177672 183056 222090 228820 251702 274584 296120 343230 355344 377553 444180 457640 503404 549168 592240 629255 686460 755106 888360 915280 1006808 1258510 1372920 1510212 1776720 1887765 2013616 2517020 2745840 3020424 3775530 5034040 6040848 7551060 10068080 15102120 30204240