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307741320 = 23325531272
BaseRepresentation
bin10010010101111…
…100001010001000
3210110001212201200
4102111330022020
51112240210240
650311544200
710424521005
oct2225741210
9713055650
10307741320
11148791677
128708b060
134b9ab573
142cc2a8ac
151c03c930
hex1257c288

307741320 has 144 divisors (see below), whose sum is σ = 1027117260. Its totient is φ = 79881984.

The previous prime is 307741303. The next prime is 307741333. The reversal of 307741320 is 23147703.

It can be written as a sum of positive squares in 2 ways, for example, as 307160676 + 580644 = 17526^2 + 762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2423097 + ... + 2423223.

Almost surely, 2307741320 is an apocalyptic number.

307741320 is a gapful number since it is divisible by the number (30) 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 307741320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513558630).

307741320 is an abundant number, since it is smaller than the sum of its proper divisors (719375940).

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

307741320 is a wasteful number, since it uses less digits than its factorization.

307741320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 307741320 is about 17542.5573962293. The cubic root of 307741320 is about 675.1422251745.

The spelling of 307741320 in words is "three hundred seven million, seven hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 127 159 180 212 254 265 318 360 381 424 477 508 530 635 636 762 795 954 1016 1060 1143 1270 1272 1524 1590 1905 1908 2120 2286 2385 2540 3048 3180 3810 3816 4572 4770 5080 5715 6360 6731 7620 9144 9540 11430 13462 15240 16129 19080 20193 22860 26924 32258 33655 40386 45720 48387 53848 60579 64516 67310 80645 80772 96774 100965 121158 129032 134620 145161 161290 161544 193548 201930 241935 242316 269240 290322 302895 322580 387096 403860 483870 484632 580644 605790 645160 725805 807720 854837 967740 1161288 1211580 1451610 1709674 1935480 2423160 2564511 2903220 3419348 4274185 5129022 5806440 6838696 7693533 8548370 10258044 12822555 15387066 17096740 20516088 25645110 30774132 34193480 38467665 51290220 61548264 76935330 102580440 153870660 307741320