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310040442 = 232194122111
BaseRepresentation
bin10010011110101…
…101011101111010
3210121101200112100
4102132231131322
51113332243232
650433124230
710453204665
oct2236553572
9717350470
10310040442
1114a011a78
12879b9676
134c304baa
142d2686dc
151c343c7c
hex127ad77a

310040442 has 48 divisors (see below), whose sum is σ = 724389120. Its totient is φ = 95515200.

The previous prime is 310040413. The next prime is 310040447. The reversal of 310040442 is 244040013.

It is a super-2 number, since 2×3100404422 = 192250151351110728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (310040447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967 + ... + 25077.

It is an arithmetic number, because the mean of its divisors is an integer number (15091440).

Almost surely, 2310040442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310040442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362194560).

310040442 is an abundant number, since it is smaller than the sum of its proper divisors (414348678).

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

310040442 is a wasteful number, since it uses less digits than its factorization.

310040442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22179 (or 22176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 310040442 is about 17607.9652998295. The cubic root of 310040442 is about 676.8193748331.

Adding to 310040442 its reverse (244040013), we get a palindrome (554080455).

The spelling of 310040442 in words is "three hundred ten million, forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 14022 22111 44222 66333 132666 198999 397998 420109 840218 906551 1260327 1813102 2520654 2719653 3780981 5439306 7561962 8158959 16317918 17224469 34448938 51673407 103346814 155020221 310040442