Search a number
-
+
31299968 = 277181193
BaseRepresentation
bin111011101100…
…1100110000000
32011220012111002
41313121212000
531003044333
63034511132
7530021360
oct167314600
964805432
1031299968
1116739147
12a5954a8
13663b8bb
14422a9a0
152b340e8
hex1dd9980

31299968 has 64 divisors (see below), whose sum is σ = 72028320. Its totient is φ = 13271040.

The previous prime is 31299967. The next prime is 31299971. The reversal of 31299968 is 86999213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31299967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162080 + ... + 162272.

Almost surely, 231299968 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 31299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36014160).

31299968 is an abundant number, since it is smaller than the sum of its proper divisors (40728352).

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

31299968 is a wasteful number, since it uses less digits than its factorization.

31299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its digits is 209952, while the sum is 47.

The square root of 31299968 is about 5594.6374323990. The cubic root of 31299968 is about 315.1480550334.

The spelling of 31299968 in words is "thirty-one million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 181 193 224 362 386 448 724 772 896 1267 1351 1448 1544 2534 2702 2896 3088 5068 5404 5792 6176 10136 10808 11584 12352 20272 21616 23168 24704 34933 40544 43232 69866 81088 86464 139732 162176 172928 244531 279464 489062 558928 978124 1117856 1956248 2235712 3912496 4471424 7824992 15649984 31299968