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307474995312 = 243230710336733
BaseRepresentation
bin1000111100101101111…
…00000001100001110000
31002101122110110010121100
410132112330001201300
520014202044322222
6353130240124400
731133342223522
oct4362674014160
91071573403540
10307474995312
11109443689981
124b710906700
1322cc1673564
1410c4bbc5a12
157ee8a524ac
hex4796f01870

307474995312 has 120 divisors (see below), whose sum is σ = 864269950544. Its totient is φ = 102043763712.

The previous prime is 307474995307. The next prime is 307474995313. The reversal of 307474995312 is 213599474703.

307474995312 is a `hidden beast` number, since 30 + 7 + 4 + 74 + 9 + 9 + 531 + 2 = 666.

It is a super-2 number, since 2×3074749953122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307474995313) 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 23 ways as a sum of consecutive naturals, for example, 45663498 + ... + 45670230.

Almost surely, 2307474995312 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 307474995312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432134975272).

307474995312 is an abundant number, since it is smaller than the sum of its proper divisors (556794955232).

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

307474995312 is a wasteful number, since it uses less digits than its factorization.

307474995312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 307474995312 in words is "three hundred seven billion, four hundred seventy-four million, nine hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1033 1228 1842 2066 2456 2763 3099 3684 4132 4912 5526 6198 6733 7368 8264 9297 11052 12396 13466 14736 16528 18594 20199 22104 24792 26932 37188 40398 44208 49584 53864 60597 74376 80796 107728 121194 148752 161592 242388 317131 323184 484776 634262 951393 969552 1268524 1902786 2067031 2537048 2854179 3805572 4134062 5074096 5708358 6201093 6955189 7611144 8268124 11416716 12402186 13910378 15222288 16536248 18603279 20865567 22833432 24804372 27820756 33072496 37206558 41731134 45666864 49608744 55641512 62596701 74413116 83462268 99217488 111283024 125193402 148826232 166924536 250386804 297652464 333849072 500773608 1001547216 2135243023 4270486046 6405729069 8540972092 12811458138 17081944184 19217187207 25622916276 34163888368 38434374414 51245832552 76868748828 102491665104 153737497656 307474995312