Search a number
-
+
31000302 = 2323789523
BaseRepresentation
bin111011001000…
…0011011101110
32011022222102100
41312100123232
530414002202
63024235530
7524332614
oct166203356
964288370
1031000302
1116553a93
12a46bba6
136565398
14418d6b4
152ac541c
hex1d906ee

31000302 has 48 divisors (see below), whose sum is σ = 69891120. Its totient is φ = 9922176.

The previous prime is 31000301. The next prime is 31000303. The reversal of 31000302 is 20300013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31000301) and next prime (31000303).

It is a super-2 number, since 2×310003022 = 1922037448182408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000301) 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, 59013 + ... + 59535.

It is an arithmetic number, because the mean of its divisors is an integer number (1456065).

Almost surely, 231000302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31000302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945560).

31000302 is an abundant number, since it is smaller than the sum of its proper divisors (38890818).

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

31000302 is a wasteful number, since it uses less digits than its factorization.

31000302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 31000302 is about 5567.7914831646. The cubic root of 31000302 is about 314.1390853401.

Adding to 31000302 its reverse (20300013), we get a palindrome (51300315).

The spelling of 31000302 in words is "thirty-one million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 333 523 534 666 801 1046 1569 1602 3138 3293 4707 6586 9414 9879 19351 19758 29637 38702 46547 58053 59274 93094 116106 139641 174159 279282 348318 418923 837846 1722239 3444478 5166717 10333434 15500151 31000302