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30679684440 = 23351731485131
BaseRepresentation
bin11100100100101001…
…101101010101011000
32221012010020110010220
4130210221231111120
51000312444400230
622032152040040
72134162005066
oct344451552530
987163213126
1030679684440
1112013978009
125b42693020
132b7c140542
1416b0815036
15be8636d10
hex724a6d558

30679684440 has 128 divisors (see below), whose sum is σ = 100596971520. Its totient is φ = 7451596800.

The previous prime is 30679684381. The next prime is 30679684447. The reversal of 30679684440 is 4448697603.

It is a super-2 number, since 2×306796844402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30679684447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179326 + ... + 305805.

It is an arithmetic number, because the mean of its divisors is an integer number (785913840).

Almost surely, 230679684440 is an apocalyptic number.

30679684440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30679684440 is an abundant number, since it is smaller than the sum of its proper divisors (69917287080).

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

30679684440 is a wasteful number, since it uses less digits than its factorization.

30679684440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485193 (or 485189 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 30679684440 in words is "thirty billion, six hundred seventy-nine million, six hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 465 510 527 620 680 744 930 1020 1054 1240 1581 1860 2040 2108 2635 3162 3720 4216 5270 6324 7905 10540 12648 15810 21080 31620 63240 485131 970262 1455393 1940524 2425655 2910786 3881048 4851310 5821572 7276965 8247227 9702620 11643144 14553930 15039061 16494454 19405240 24741681 29107860 30078122 32988908 41236135 45117183 49483362 58215720 60156244 65977816 75195305 82472270 90234366 98966724 120312488 123708405 150390610 164944540 180468732 197933448 225585915 247416810 255664037 300781220 329889080 360937464 451171830 494833620 511328074 601562440 766992111 902343660 989667240 1022656148 1278320185 1533984222 1804687320 2045312296 2556640370 3067968444 3834960555 5113280740 6135936888 7669921110 10226561480 15339842220 30679684440