Search a number
-
+
31304032040 = 2353728617393
BaseRepresentation
bin11101001001110111…
…011001111100101000
32222210122001121001002
4131021313121330220
51003102313011130
622214134014132
72155512611351
oct351167317450
988718047032
1031304032040
1112304345666
1260977a7348
132c4b5b23a8
14172d6d8d28
15c33363b45
hex749dd9f28

31304032040 has 64 divisors (see below), whose sum is σ = 72372767760. Its totient is φ = 12177285120.

The previous prime is 31304032037. The next prime is 31304032043. The reversal of 31304032040 is 4023040313.

It is an interprime number because it is at equal distance from previous prime (31304032037) and next prime (31304032043).

It can be written as a sum of positive squares in 8 ways, for example, as 15668530276 + 15635501764 = 125174^2 + 125042^2 .

It is a super-2 number, since 2×313040320402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31304032043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230584 + ... + 4237976.

Almost surely, 231304032040 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 31304032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36186383880).

31304032040 is an abundant number, since it is smaller than the sum of its proper divisors (41068735720).

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

31304032040 is a wasteful number, since it uses less digits than its factorization.

31304032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10302 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 31304032040 its reverse (4023040313), we get a palindrome (35327072353).

The spelling of 31304032040 in words is "thirty-one billion, three hundred four million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2861 5722 7393 11444 14305 14786 22888 28610 29572 36965 57220 59144 73930 105857 114440 147860 211714 273541 295720 423428 529285 547082 846856 1058570 1094164 1367705 2117140 2188328 2735410 4234280 5470820 10941640 21151373 42302746 84605492 105756865 169210984 211513730 423027460 782600801 846054920 1565201602 3130403204 3913004005 6260806408 7826008010 15652016020 31304032040