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30324480 = 283553149
BaseRepresentation
bin111001110101…
…1011100000000
32010001122100220
41303223130000
530230340410
63001543040
7515516364
oct163533400
963048326
1030324480
111613225a
12a1a4a80
1363898a4
1440552a4
1529e0070
hex1ceb700

30324480 has 144 divisors (see below), whose sum is σ = 99338400. Its totient is φ = 7880704.

The previous prime is 30324467. The next prime is 30324493. The reversal of 30324480 is 8442303.

It is an interprime number because it is at equal distance from previous prime (30324467) and next prime (30324493).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30324480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203446 + ... + 203594.

It is an arithmetic number, because the mean of its divisors is an integer number (689850).

Almost surely, 230324480 is an apocalyptic number.

30324480 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 30324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49669200).

30324480 is an abundant number, since it is smaller than the sum of its proper divisors (69013920).

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

30324480 is a wasteful number, since it uses less digits than its factorization.

30324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 30324480 is about 5506.7667464675. The cubic root of 30324480 is about 311.8394966700.

Adding to 30324480 its reverse (8442303), we get a palindrome (38766783).

It can be divided in two parts, 30 and 324480, that multiplied together give a square (9734400 = 31202).

The spelling of 30324480 in words is "thirty million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 149 159 160 192 212 240 256 265 298 318 320 384 424 447 480 530 596 636 640 745 768 795 848 894 960 1060 1192 1272 1280 1490 1590 1696 1788 1920 2120 2235 2384 2544 2980 3180 3392 3576 3840 4240 4470 4768 5088 5960 6360 6784 7152 7897 8480 8940 9536 10176 11920 12720 13568 14304 15794 16960 17880 19072 20352 23691 23840 25440 28608 31588 33920 35760 38144 39485 40704 47382 47680 50880 57216 63176 67840 71520 78970 94764 95360 101760 114432 118455 126352 143040 157940 189528 190720 203520 236910 252704 286080 315880 379056 473820 505408 572160 631760 758112 947640 1010816 1263520 1516224 1895280 2021632 2527040 3032448 3790560 5054080 6064896 7581120 10108160 15162240 30324480