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30400033312 = 2511896131583
BaseRepresentation
bin11100010011111110…
…111011001000100000
32220110122000200220201
4130103332323020200
5444224402031222
621544322114544
72124225006505
oct342376731040
986418020821
1030400033312
1111990031a80
125a84aaba54
132b362188bc
14168561b4ac
15bcdce7427
hex713fbb220

30400033312 has 96 divisors (see below), whose sum is σ = 66174071040. Its totient is φ = 13632030720.

The previous prime is 30400033289. The next prime is 30400033333. The reversal of 30400033312 is 21333000403.

It is a self number, because there is not a number n which added to its sum of digits gives 30400033312.

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, 19203273 + ... + 19204855.

It is an arithmetic number, because the mean of its divisors is an integer number (689313240).

Almost surely, 230400033312 is an apocalyptic number.

30400033312 is a gapful number since it is divisible by the number (32) 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 30400033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33087035520).

30400033312 is an abundant number, since it is smaller than the sum of its proper divisors (35774037728).

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

30400033312 is a wasteful number, since it uses less digits than its factorization.

30400033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 30400033312 its reverse (21333000403), we get a palindrome (51733033715).

The spelling of 30400033312 in words is "thirty billion, four hundred million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 89 176 178 352 356 613 712 979 1226 1424 1583 1958 2452 2848 3166 3916 4904 6332 6743 7832 9808 12664 13486 15664 17413 19616 25328 26972 31328 34826 50656 53944 54557 69652 107888 109114 139304 140887 215776 218228 278608 281774 436456 557216 563548 600127 872912 970379 1127096 1200254 1549757 1745824 1940758 2254192 2400508 3099514 3881516 4508384 4801016 6199028 7763032 9602032 10674169 12398056 15526064 19204064 21348338 24796112 31052128 42696676 49592224 85393352 86363731 170786704 172727462 341573408 345454924 690909848 950001041 1381819696 1900002082 2763639392 3800004164 7600008328 15200016656 30400033312