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307146429 = 32172007493
BaseRepresentation
bin10010010011101…
…010111010111101
3210101221122200200
4102103222322331
51112112141204
650251114113
710416462432
oct2223527275
9711848620
10307146429
11148415727
1286a42939
134b830865
142cb13b89
151be71539
hex124eaebd

307146429 has 12 divisors (see below), whose sum is σ = 469753596. Its totient is φ = 192719232.

The previous prime is 307146403. The next prime is 307146431. The reversal of 307146429 is 924641703.

307146429 is a `hidden beast` number, since 3 + 0 + 7 + 1 + 4 + 642 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161340804 + 145805625 = 12702^2 + 12075^2 .

It is not a de Polignac number, because 307146429 - 28 = 307146173 is a prime.

It is a super-3 number, since 3×3071464293 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 307146393 and 307146402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307146629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003594 + ... + 1003899.

It is an arithmetic number, because the mean of its divisors is an integer number (39146133).

Almost surely, 2307146429 is an apocalyptic number.

It is an amenable number.

307146429 is a deficient number, since it is larger than the sum of its proper divisors (162607167).

307146429 is a wasteful number, since it uses less digits than its factorization.

307146429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007516 (or 2007513 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 307146429 is about 17525.5935420173. The cubic root of 307146429 is about 674.7069081459.

The spelling of 307146429 in words is "three hundred seven million, one hundred forty-six thousand, four hundred twenty-nine".

Divisors: 1 3 9 17 51 153 2007493 6022479 18067437 34127381 102382143 307146429