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4309397316 = 2234725212
BaseRepresentation
bin1000000001101110…
…00010111101000100
3102010022220001210000
410000313002331010
532311201203231
61551341201300
7211535162400
oct40067027504
912108801700
104309397316
1119115a6a94
12a03260230
13538a5c953
142cc492100
151a34dd6e6
hex100dc2f44

4309397316 has 135 divisors (see below), whose sum is σ = 13130101677. Its totient is φ = 1228893120.

The previous prime is 4309397297. The next prime is 4309397317. The reversal of 4309397316 is 6137939034.

It is a happy number.

The square root of 4309397316 is 65646.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1235803716 + 3073593600 = 35154^2 + 55440^2 .

It is not an unprimeable number, because it can be changed into a prime (4309397317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8271136 + ... + 8271656.

Almost surely, 24309397316 is an apocalyptic number.

4309397316 is the 65646-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4309397316

4309397316 is an abundant number, since it is smaller than the sum of its proper divisors (8820704361).

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

4309397316 is an equidigital number, since it uses as much as digits as its factorization.

4309397316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The cubic root of 4309397316 is about 1627.3170658070.

The spelling of 4309397316 in words is "four billion, three hundred nine million, three hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 521 567 588 756 882 1042 1134 1323 1563 1764 2084 2268 2646 3126 3647 3969 4689 5292 6252 7294 7938 9378 10941 14067 14588 15876 18756 21882 25529 28134 32823 42201 43764 51058 56268 65646 76587 84402 98469 102116 131292 153174 168804 196938 229761 271441 295407 306348 393876 459522 542882 590814 689283 814323 919044 1085764 1181628 1378566 1628646 1900087 2067849 2442969 2757132 3257292 3800174 4135698 4885938 5700261 7328907 7600348 8271396 9771876 11400522 13300609 14657814 17100783 21986721 22801044 26601218 29315628 34201566 39901827 43973442 51302349 53202436 68403132 79803654 87946884 102604698 119705481 153907047 159607308 205209396 239410962 307814094 359116443 478821924 615628188 718232886 1077349329 1436465772 2154698658 4309397316