Search a number
-
+
31414236 = 22374773109
BaseRepresentation
bin111011111010…
…1011111011100
32012010000020020
41313311133130
531020223421
63041152140
7531005460
oct167653734
965100206
1031414236
1116806a87
12a62b650
13667b909
14425a4a0
152b57dc6
hex1df57dc

31414236 has 96 divisors (see below), whose sum is σ = 87521280. Its totient is φ = 8584704.

The previous prime is 31414231. The next prime is 31414267. The reversal of 31414236 is 63241413.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31414231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288150 + ... + 288258.

It is an arithmetic number, because the mean of its divisors is an integer number (911680).

Almost surely, 231414236 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 31414236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43760640).

31414236 is an abundant number, since it is smaller than the sum of its proper divisors (56107044).

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

31414236 is a wasteful number, since it uses less digits than its factorization.

31414236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 31414236 is about 5604.8404080759. The cubic root of 31414236 is about 315.5310970007.

Adding to 31414236 its reverse (63241413), we get a palindrome (94655649).

The spelling of 31414236 in words is "thirty-one million, four hundred fourteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 73 84 94 109 141 146 188 218 219 282 292 327 329 436 438 511 564 654 658 763 876 987 1022 1308 1316 1526 1533 1974 2044 2289 3052 3066 3431 3948 4578 5123 6132 6862 7957 9156 10246 10293 13724 15369 15914 20492 20586 23871 24017 30738 31828 35861 41172 47742 48034 55699 61476 71722 72051 95484 96068 107583 111398 143444 144102 167097 215166 222796 288204 334194 373979 430332 668388 747958 1121937 1495916 2243874 2617853 4487748 5235706 7853559 10471412 15707118 31414236