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949054340 = 2251319318913
BaseRepresentation
bin111000100100010…
…110101110000100
32110010210221210202
4320210112232010
53420424214330
6234101310032
732342554163
oct7044265604
92403727722
10949054340
11447797633
12225a05318
13121810520
14900893da
15584bb445
hex38916b84

949054340 has 48 divisors (see below), whose sum is σ = 2157557808. Its totient is φ = 348585984.

The previous prime is 949054339. The next prime is 949054439. The reversal of 949054340 is 43450949.

It can be written as a sum of positive squares in 8 ways, for example, as 8773444 + 940280896 = 2962^2 + 30664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 949054294 and 949054303.

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, 40724 + ... + 59636.

It is an arithmetic number, because the mean of its divisors is an integer number (44949121).

Almost surely, 2949054340 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 949054340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078778904).

949054340 is an abundant number, since it is smaller than the sum of its proper divisors (1208503468).

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

949054340 is a wasteful number, since it uses less digits than its factorization.

949054340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128 (or 19126 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 949054340 is about 30806.7255643958. The cubic root of 949054340 is about 982.7212786674.

The spelling of 949054340 in words is "nine hundred forty-nine million, fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2509 3860 5018 10036 12545 18913 25090 37826 50180 75652 94565 189130 245869 378260 491738 983476 1229345 2458690 3650209 4917380 7300418 14600836 18251045 36502090 47452717 73004180 94905434 189810868 237263585 474527170 949054340