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307040876680 = 2351710116327427
BaseRepresentation
bin1000111011111010000…
…11111111100010001000
31002100112012120121210111
410131331003333202020
520012304431023210
6353015211324104
731116521250526
oct4357503774210
91070465517714
10307040876680
1110924063014a
124b60b450634
1322c52747425
1410c0a29d316
157ec089e88a
hex477d0ff888

307040876680 has 128 divisors (see below), whose sum is σ = 743281246080. Its totient is φ = 113741107200.

The previous prime is 307040876657. The next prime is 307040876683. The reversal of 307040876680 is 86678040703.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (307040876683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11181127 + ... + 11208553.

It is an arithmetic number, because the mean of its divisors is an integer number (5806884735).

Almost surely, 2307040876680 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 307040876680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371640623040).

307040876680 is an abundant number, since it is smaller than the sum of its proper divisors (436240369400).

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

307040876680 is a wasteful number, since it uses less digits than its factorization.

307040876680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27719 (or 27715 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 307040876680 in words is "three hundred seven billion, forty million, eight hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 163 170 202 326 340 404 505 652 680 808 815 1010 1304 1630 1717 2020 2771 3260 3434 4040 5542 6520 6868 8585 11084 13736 13855 16463 17170 22168 27427 27710 32926 34340 54854 55420 65852 68680 82315 109708 110840 131704 137135 164630 219416 274270 279871 329260 466259 548540 559742 658520 932518 1097080 1119484 1399355 1865036 2238968 2331295 2770127 2798710 3730072 4470601 4662590 5540254 5597420 8941202 9325180 11080508 11194840 13850635 17882404 18650360 22161016 22353005 27701270 35764808 44706010 47092159 55402540 76000217 89412020 94184318 110805080 152000434 178824040 188368636 235460795 304000868 376737272 380001085 451530701 470921590 608001736 760002170 903061402 941843180 1520004340 1806122804 1883686360 2257653505 3040008680 3612245608 4515307010 7676021917 9030614020 15352043834 18061228040 30704087668 38380109585 61408175336 76760219170 153520438340 307040876680