Search a number
-
+
31328388 = 223271373131
BaseRepresentation
bin111011110000…
…0100010000100
32011221122110200
41313200202010
531010002023
63035250500
7530200260
oct167404204
964848420
1031328388
1116758533
12a5a9a30
13664b810
1442370a0
152b3c743
hex1de0884

31328388 has 144 divisors (see below), whose sum is σ = 99555456. Its totient is φ = 8087040.

The previous prime is 31328347. The next prime is 31328389. The reversal of 31328388 is 88382313.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31328389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239083 + ... + 239213.

Almost surely, 231328388 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 31328388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49777728).

31328388 is an abundant number, since it is smaller than the sum of its proper divisors (68227068).

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

31328388 is a wasteful number, since it uses less digits than its factorization.

31328388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 31328388 is about 5597.1767883461. The cubic root of 31328388 is about 315.2434097453.

The spelling of 31328388 in words is "thirty-one million, three hundred twenty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 73 78 84 91 117 126 131 146 156 182 219 234 252 262 273 292 364 393 438 468 511 524 546 657 786 819 876 917 949 1022 1092 1179 1314 1533 1572 1638 1703 1834 1898 2044 2358 2628 2751 2847 3066 3276 3406 3668 3796 4599 4716 5109 5502 5694 6132 6643 6812 8253 8541 9198 9563 10218 11004 11388 11921 13286 15327 16506 17082 18396 19126 19929 20436 23842 26572 28689 30654 33012 34164 35763 38252 39858 47684 57378 59787 61308 66941 71526 79716 86067 107289 114756 119574 124319 133882 143052 172134 200823 214578 239148 248638 267764 344268 372957 401646 429156 497276 602469 745914 803292 870233 1118871 1204938 1491828 1740466 2237742 2409876 2610699 3480932 4475484 5221398 7832097 10442796 15664194 31328388