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931214064 = 243112236971
BaseRepresentation
bin110111100000010…
…011001011110000
32101220020120112210
4313200103023300
53401342322224
6232223052120
732035121544
oct6740231360
92356216483
10931214064
11438711a00
1221ba41040
1311ac05151
148b963a24
1556b45429
hex378132f0

931214064 has 120 divisors (see below), whose sum is σ = 2759573376. Its totient is φ = 269878400.

The previous prime is 931214059. The next prime is 931214069. The reversal of 931214064 is 460412139.

It is an interprime number because it is at equal distance from previous prime (931214059) and next prime (931214069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (931214069) 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, 130099 + ... + 137069.

Almost surely, 2931214064 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 931214064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379786688).

931214064 is an abundant number, since it is smaller than the sum of its proper divisors (1828359312).

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

931214064 is a wasteful number, since it uses less digits than its factorization.

931214064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 931214064 is about 30515.8002352879. The cubic root of 931214064 is about 976.5245713179.

The spelling of 931214064 in words is "nine hundred thirty-one million, two hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 121 132 138 176 184 242 253 264 276 363 368 484 506 528 552 726 759 968 1012 1104 1452 1518 1936 2024 2783 2904 3036 4048 5566 5808 6072 6971 8349 11132 12144 13942 16698 20913 22264 27884 33396 41826 44528 55768 66792 76681 83652 111536 133584 153362 160333 167304 230043 306724 320666 334608 460086 480999 613448 641332 843491 920172 961998 1226896 1282664 1686982 1763663 1840344 1923996 2530473 2565328 3373964 3527326 3680688 3847992 5060946 5290989 6747928 7054652 7695984 10121892 10581978 13495856 14109304 19400293 20243784 21163956 28218608 38800586 40487568 42327912 58200879 77601172 84655824 116401758 155202344 232803516 310404688 465607032 931214064