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31114476 = 22331959257
BaseRepresentation
bin111011010110…
…0010011101100
32011112210001000
41312230103230
530431130401
63030520300
7525316521
oct166542354
964483030
1031114476
1116621848
12a506090
1365a5343
1441bd148
152ae9186
hex1dac4ec

31114476 has 96 divisors (see below), whose sum is σ = 86688000. Its totient is φ = 9621504.

The previous prime is 31114451. The next prime is 31114487. The reversal of 31114476 is 67441113.

It is a happy number.

It is a super-2 number, since 2×311144762 = 1936221233509152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120940 + ... + 121196.

It is an arithmetic number, because the mean of its divisors is an integer number (903000).

Almost surely, 231114476 is an apocalyptic number.

31114476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31114476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43344000).

31114476 is an abundant number, since it is smaller than the sum of its proper divisors (55573524).

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

31114476 is a wasteful number, since it uses less digits than its factorization.

31114476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 31114476 is about 5578.0351379316. The cubic root of 31114476 is about 314.5242705524.

Adding to 31114476 its reverse (67441113), we get a palindrome (98555589).

The spelling of 31114476 in words is "thirty-one million, one hundred fourteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 257 342 354 513 514 531 684 708 771 1026 1028 1062 1121 1542 1593 2052 2124 2242 2313 3084 3186 3363 4484 4626 4883 6372 6726 6939 9252 9766 10089 13452 13878 14649 15163 19532 20178 27756 29298 30267 30326 40356 43947 45489 58596 60534 60652 87894 90978 121068 131841 136467 175788 181956 263682 272934 288097 409401 527364 545868 576194 818802 864291 1152388 1637604 1728582 2592873 3457164 5185746 7778619 10371492 15557238 31114476