Search a number
-
+
494431340 = 2251313913681
BaseRepresentation
bin11101011110000…
…110110001101100
31021110100201021212
4131132012301230
52003033300330
6121021213552
715152411534
oct3536066154
91243321255
10494431340
11234103647
121197012b8
137b585530
14499464c4
152d618295
hex1d786c6c

494431340 has 48 divisors (see below), whose sum is σ = 1126302240. Its totient is φ = 181232640.

The previous prime is 494431339. The next prime is 494431361. The reversal of 494431340 is 43134494.

It is a junction number, because it is equal to n+sod(n) for n = 494431297 and 494431306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29300 + ... + 42980.

It is an arithmetic number, because the mean of its divisors is an integer number (23464630).

Almost surely, 2494431340 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 494431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563151120).

494431340 is an abundant number, since it is smaller than the sum of its proper divisors (631870900).

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

494431340 is a wasteful number, since it uses less digits than its factorization.

494431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13842 (or 13840 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 494431340 is about 22235.8121057001. The cubic root of 494431340 is about 790.7429532652.

The spelling of 494431340 in words is "four hundred ninety-four million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 13681 18070 27362 36140 54724 68405 136810 177853 273620 355706 711412 889265 1778530 1901659 3557060 3803318 7606636 9508295 19016590 24721567 38033180 49443134 98886268 123607835 247215670 494431340