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307240032 = 253111915313
BaseRepresentation
bin10010010100000…
…001110001100000
3210102010102002110
4102110001301200
51112123140112
650253115320
710420332351
oct2224016140
9712112073
10307240032
11148479a90
1286a88b40
134b864348
142cb39d28
151be8e13c
hex12501c60

307240032 has 96 divisors (see below), whose sum is σ = 926190720. Its totient is φ = 88197120.

The previous prime is 307240027. The next prime is 307240033. The reversal of 307240032 is 230042703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3072400322 = 188792874526722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 307239990 and 307240008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307240033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12408 + ... + 27720.

It is an arithmetic number, because the mean of its divisors is an integer number (9647820).

Almost surely, 2307240032 is an apocalyptic number.

307240032 is a gapful number since it is divisible by the number (32) 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 307240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

307240032 is an abundant number, since it is smaller than the sum of its proper divisors (618950688).

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

307240032 is a wasteful number, since it uses less digits than its factorization.

307240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15356 (or 15348 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 307240032 is about 17528.2638044959. The cubic root of 307240032 is about 674.7754402535.

Adding to 307240032 its reverse (230042703), we get a palindrome (537282735).

The spelling of 307240032 in words is "three hundred seven million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 15313 20064 30626 45939 61252 91878 122504 168443 183756 245008 290947 336886 367512 490016 505329 581894 673772 735024 872841 1010658 1163788 1347544 1470048 1745682 2021316 2327576 2695088 3200417 3491364 4042632 4655152 5390176 6400834 6982728 8085264 9310304 9601251 12801668 13965456 16170528 19202502 25603336 27930912 38405004 51206672 76810008 102413344 153620016 307240032