Search a number
-
+
31030944 = 253761757
BaseRepresentation
bin111011001011…
…1111010100000
32011101112110020
41312113322200
530420442234
63025033440
7524521140
oct166277240
964345406
1031030944
111657500a
12a485880
136576309
14419a920
152ace549
hex1d97ea0

31030944 has 96 divisors (see below), whose sum is σ = 94743936. Its totient is φ = 8709120.

The previous prime is 31030943. The next prime is 31030949. The reversal of 31030944 is 44903013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×310309442 = 1925838971062272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31030943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40614 + ... + 41370.

It is an arithmetic number, because the mean of its divisors is an integer number (986916).

Almost surely, 231030944 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 31030944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47371968).

31030944 is an abundant number, since it is smaller than the sum of its proper divisors (63712992).

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

31030944 is a wasteful number, since it uses less digits than its factorization.

31030944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 31030944 is about 5570.5425229505. The cubic root of 31030944 is about 314.2425540102.

Adding to 31030944 its reverse (44903013), we get a palindrome (75933957).

The spelling of 31030944 in words is "thirty-one million, thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 757 854 976 1281 1464 1514 1708 1952 2271 2562 2928 3028 3416 4542 5124 5299 5856 6056 6832 9084 10248 10598 12112 13664 15897 18168 20496 21196 24224 31794 36336 40992 42392 46177 63588 72672 84784 92354 127176 138531 169568 184708 254352 277062 323239 369416 508704 554124 646478 738832 969717 1108248 1292956 1477664 1939434 2216496 2585912 3878868 4432992 5171824 7757736 10343648 15515472 31030944