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307223640 = 233253127529
BaseRepresentation
bin10010010011111…
…101110001011000
3210102002120121100
4102103331301120
51112122124030
650252511400
710420233513
oct2223756130
9712076540
10307223640
11148468739
1286a7b560
134b859a49
142cb33d7a
151be89360
hex124fdc58

307223640 has 96 divisors (see below), whose sum is σ = 1030723200. Its totient is φ = 79280640.

The previous prime is 307223599. The next prime is 307223641. The reversal of 307223640 is 46322703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307223641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2605 + ... + 24924.

It is an arithmetic number, because the mean of its divisors is an integer number (10736700).

Almost surely, 2307223640 is an apocalyptic number.

307223640 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 307223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515361600).

307223640 is an abundant number, since it is smaller than the sum of its proper divisors (723499560).

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

307223640 is a wasteful number, since it uses less digits than its factorization.

307223640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27577 (or 27570 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 307223640 is about 17527.7962105908. The cubic root of 307223640 is about 674.7634397386.

The spelling of 307223640 in words is "three hundred seven million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 27529 55058 82587 110116 137645 165174 220232 247761 275290 330348 412935 495522 550580 660696 825870 853399 991044 1101160 1238805 1651740 1706798 1982088 2477610 2560197 3303480 3413596 4266995 4955220 5120394 6827192 7680591 8533990 9910440 10240788 12800985 15361182 17067980 20481576 25601970 30722364 34135960 38402955 51203940 61444728 76805910 102407880 153611820 307223640