Search a number
-
+
31378032 = 2432724447
BaseRepresentation
bin111011110110…
…0101001110000
32012001011120100
41313230221300
531013044112
63040312400
7530465100
oct167545160
965034510
1031378032
1116791864
12a612700
1366682aa
14424b200
152b4c2dc
hex1deca70

31378032 has 90 divisors (see below), whose sum is σ = 102175008. Its totient is φ = 8963136.

The previous prime is 31378031. The next prime is 31378051. The reversal of 31378032 is 23087313.

It is a junction number, because it is equal to n+sod(n) for n = 31377987 and 31378005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31378031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4833 + ... + 9279.

Almost surely, 231378032 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 31378032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51087504).

31378032 is an abundant number, since it is smaller than the sum of its proper divisors (70796976).

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

31378032 is a wasteful number, since it uses less digits than its factorization.

31378032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 31378032 is about 5601.6097686290. The cubic root of 31378032 is about 315.4098369128.

The spelling of 31378032 in words is "thirty-one million, three hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 4447 7056 8894 13341 17788 26682 31129 35576 40023 53364 62258 71152 80046 93387 106728 124516 160092 186774 213456 217903 249032 280161 320184 373548 435806 498064 560322 640368 653709 747096 871612 1120644 1307418 1494192 1743224 1961127 2241288 2614836 3486448 3922254 4482576 5229672 7844508 10459344 15689016 31378032