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307131006 = 237132337661
BaseRepresentation
bin10010010011100…
…111001001111110
3210101220212112110
4102103213021332
51112111143011
650250514450
710416366450
oct2223471176
9711825473
10307131006
11148405086
1286a35a26
134b826830
142cb0c2d0
151be6bba6
hex124e727e

307131006 has 128 divisors (see below), whose sum is σ = 811431936. Its totient is φ = 75271680.

The previous prime is 307130977. The next prime is 307131017. The reversal of 307131006 is 600131703.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464316 + ... + 464976.

It is an arithmetic number, because the mean of its divisors is an integer number (6339312).

Almost surely, 2307131006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307131006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405715968).

307131006 is an abundant number, since it is smaller than the sum of its proper divisors (504300930).

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

307131006 is a wasteful number, since it uses less digits than its factorization.

307131006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 307131006 is about 17525.1535228654. The cubic root of 307131006 is about 674.6956147498.

Adding to 307131006 its reverse (600131703), we get a palindrome (907262709).

The spelling of 307131006 in words is "three hundred seven million, one hundred thirty-one thousand, six".

Divisors: 1 2 3 6 7 13 14 21 23 26 37 39 42 46 69 74 78 91 111 138 161 182 222 259 273 299 322 481 483 518 546 598 661 777 851 897 962 966 1322 1443 1554 1702 1794 1983 2093 2553 2886 3367 3966 4186 4627 5106 5957 6279 6734 8593 9254 10101 11063 11914 12558 13881 15203 17186 17871 20202 22126 24457 25779 27762 30406 33189 35742 45609 48914 51558 60151 66378 73371 77441 91218 106421 120302 146742 154882 171199 180453 197639 212842 232323 317941 319263 342398 360906 395278 464646 513597 562511 592917 635882 638526 953823 1027194 1125022 1185834 1383473 1687533 1907646 2225587 2766946 3375066 3937577 4150419 4451174 6676761 7312643 7875154 8300838 11812731 13353522 14625286 21937929 23625462 43875858 51188501 102377002 153565503 307131006