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310431042 = 2352712357
BaseRepresentation
bin10010100000001…
…100110101000010
3210122010112100000
4102200030311002
51113432243132
650445340430
710456422525
oct2240146502
9718115300
10310431042
1114a259489
1287b67716
134c41090c
142d32abbc
151c3be87c
hex1280cd42

310431042 has 48 divisors (see below), whose sum is σ = 700382592. Its totient is φ = 103051440.

The previous prime is 310431041. The next prime is 310431047. The reversal of 310431042 is 240134013.

310431042 is a `hidden beast` number, since 310 + 4 + 310 + 42 = 666.

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 (310431041) 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, 130528 + ... + 132884.

It is an arithmetic number, because the mean of its divisors is an integer number (14591304).

Almost surely, 2310431042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350191296).

310431042 is an abundant number, since it is smaller than the sum of its proper divisors (389951550).

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

310431042 is a wasteful number, since it uses less digits than its factorization.

310431042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 310431042 is about 17619.0533797931. The cubic root of 310431042 is about 677.1034826145.

Adding to 310431042 its reverse (240134013), we get a palindrome (550565055).

The spelling of 310431042 in words is "three hundred ten million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 271 486 542 813 1626 2357 2439 4714 4878 7071 7317 14142 14634 21213 21951 42426 43902 63639 65853 127278 131706 190917 381834 572751 638747 1145502 1277494 1916241 3832482 5748723 11497446 17246169 34492338 51738507 103477014 155215521 310431042