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30532324240 = 24511471017309
BaseRepresentation
bin11100011011110111…
…100100101110010000
32220210211221202221201
4130123313210232100
51000012233333430
622005405400544
72130422321365
oct343367445620
986724852851
1030532324240
1111a48779120
125b01269154
132b57757062
14169901646c
15bda7298ca
hex71bde4b90

30532324240 has 160 divisors (see below), whose sum is σ = 79882744320. Its totient is φ = 10757376000.

The previous prime is 30532324231. The next prime is 30532324289. The reversal of 30532324240 is 4242323503.

It is a junction number, because it is equal to n+sod(n) for n = 30532324199 and 30532324208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4173706 + ... + 4181014.

It is an arithmetic number, because the mean of its divisors is an integer number (499267152).

Almost surely, 230532324240 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 30532324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39941372160).

30532324240 is an abundant number, since it is smaller than the sum of its proper divisors (49350420080).

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

30532324240 is a wasteful number, since it uses less digits than its factorization.

30532324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7475 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 30532324240 its reverse (4242323503), we get a palindrome (34774647743).

The spelling of 30532324240 in words is "thirty billion, five hundred thirty-two million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 101 110 176 188 202 220 235 376 404 440 470 505 517 752 808 880 940 1010 1034 1111 1616 1880 2020 2068 2222 2585 3760 4040 4136 4444 4747 5170 5555 7309 8080 8272 8888 9494 10340 11110 14618 17776 18988 20680 22220 23735 29236 36545 37976 41360 44440 47470 52217 58472 73090 75952 80399 88880 94940 104434 116944 146180 160798 189880 208868 261085 292360 321596 343523 379760 401995 417736 522170 584720 643192 687046 738209 803990 835472 1044340 1286384 1374092 1476418 1607980 1717615 2088680 2748184 2952836 3215960 3435230 3691045 3778753 4177360 5496368 5905672 6431920 6870460 7382090 7557506 8120299 11811344 13740920 14764180 15115012 16240598 18893765 27481840 29528360 30230024 32481196 34695823 37787530 40601495 59056720 60460048 64962392 69391646 75575060 81202990 129924784 138783292 151150120 162405980 173479115 277566584 302300240 324811960 346958230 381654053 555133168 649623920 693916460 763308106 1387832920 1526616212 1908270265 2775665840 3053232424 3816540530 6106464848 7633081060 15266162120 30532324240