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306377430 = 23597710453
BaseRepresentation
bin10010010000101…
…111001011010110
3210100111120211020
4102100233023112
51111413034210
650222422010
710410110442
oct2220571326
9710446736
10306377430
11147a3a997
1286731906
134b621828
142c993822
151bd6d770
hex1242f2d6

306377430 has 32 divisors (see below), whose sum is σ = 736128864. Its totient is φ = 81609216.

The previous prime is 306377369. The next prime is 306377437. The reversal of 306377430 is 34773603.

It is a super-2 number, since 2×3063774302 = 187734259226809800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 306377391 and 306377400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306377437) 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, 24084 + ... + 34536.

It is an arithmetic number, because the mean of its divisors is an integer number (23004027).

Almost surely, 2306377430 is an apocalyptic number.

306377430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

306377430 is an abundant number, since it is smaller than the sum of its proper divisors (429751434).

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

306377430 is a wasteful number, since it uses less digits than its factorization.

306377430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440.

The product of its (nonzero) digits is 31752, while the sum is 33.

The square root of 306377430 is about 17503.6404784833. The cubic root of 306377430 is about 674.1433522390.

The spelling of 306377430 in words is "three hundred six million, three hundred seventy-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 977 1954 2931 4885 5862 9770 10453 14655 20906 29310 31359 52265 62718 104530 156795 313590 10212581 20425162 30637743 51062905 61275486 102125810 153188715 306377430