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307453128 = 233293711939
BaseRepresentation
bin10010010100110…
…101110011001000
3210102112020101220
4102110311303020
51112202000003
650301442040
710422210543
oct2224656310
9712466356
10307453128
111486050a4
1286b70320
134b90a338
142cb9385a
151bed2353
hex12535cc8

307453128 has 64 divisors (see below), whose sum is σ = 816696000. Its totient is φ = 96268032.

The previous prime is 307453123. The next prime is 307453141. The reversal of 307453128 is 821354703.

307453128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (307453123) 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 15 ways as a sum of consecutive naturals, for example, 19783 + ... + 31721.

It is an arithmetic number, because the mean of its divisors is an integer number (12760875).

Almost surely, 2307453128 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 307453128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408348000).

307453128 is an abundant number, since it is smaller than the sum of its proper divisors (509242872).

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

307453128 is a wasteful number, since it uses less digits than its factorization.

307453128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 307453128 is about 17534.3413905399. The cubic root of 307453128 is about 674.9314081193.

The spelling of 307453128 in words is "three hundred seven million, four hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 2146 3219 4292 6438 8584 11939 12876 23878 25752 35817 47756 71634 95512 143268 286536 346231 441743 692462 883486 1038693 1325229 1384924 1766972 2077386 2650458 2769848 3533944 4154772 5300916 8309544 10601832 12810547 25621094 38431641 51242188 76863282 102484376 153726564 307453128