Search a number
-
+
307484040 = 23353182657
BaseRepresentation
bin10010010100111…
…101010110001000
3210102120210210210
4102110331112020
51112203442130
650302241120
710422366633
oct2224752610
9712523723
10307484040
11148626346
1286b861a0
134b91b426
142cba0c1a
151bedb5b0
hex1253d588

307484040 has 64 divisors (see below), whose sum is σ = 952220160. Its totient is φ = 79349760.

The previous prime is 307484039. The next prime is 307484057. The reversal of 307484040 is 40484703.

307484040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 307483989 and 307484007.

It is an unprimeable number.

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, 37609 + ... + 45048.

It is an arithmetic number, because the mean of its divisors is an integer number (14878440).

Almost surely, 2307484040 is an apocalyptic number.

307484040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307484040 is an abundant number, since it is smaller than the sum of its proper divisors (644736120).

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

307484040 is a wasteful number, since it uses less digits than its factorization.

307484040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82702 (or 82698 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 307484040 is about 17535.2228386183. Note that the first 3 decimals coincide. The cubic root of 307484040 is about 674.9540270473.

The spelling of 307484040 in words is "three hundred seven million, four hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 82657 165314 247971 330628 413285 495942 661256 826570 991884 1239855 1653140 1983768 2479710 2562367 3306280 4959420 5124734 7687101 9918840 10249468 12811835 15374202 20498936 25623670 30748404 38435505 51247340 61496808 76871010 102494680 153742020 307484040