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307445940 = 223251708033
BaseRepresentation
bin10010010100110…
…100000010110100
3210102111212112200
4102110310002310
51112201232230
650301344500
710422150564
oct2224640264
9712455480
10307445940
111485aa75a
1286b68130
134b906c99
142cb90da4
151bed0160
hex125340b4

307445940 has 36 divisors (see below), whose sum is σ = 932586564. Its totient is φ = 81985536.

The previous prime is 307445933. The next prime is 307445953. The reversal of 307445940 is 49544703.

It can be written as a sum of positive squares in 2 ways, for example, as 56160036 + 251285904 = 7494^2 + 15852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 307445895 and 307445904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853837 + ... + 854196.

Almost surely, 2307445940 is an apocalyptic number.

307445940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307445940 is an abundant number, since it is smaller than the sum of its proper divisors (625140624).

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

307445940 is a wasteful number, since it uses less digits than its factorization.

307445940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708048 (or 1708043 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 307445940 is about 17534.1364201377. The cubic root of 307445940 is about 674.9261482988.

The spelling of 307445940 in words is "three hundred seven million, four hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1708033 3416066 5124099 6832132 8540165 10248198 15372297 17080330 20496396 25620495 30744594 34160660 51240990 61489188 76861485 102481980 153722970 307445940