Search a number
-
+
31307440 = 2451943479
BaseRepresentation
bin111011101101…
…1011010110000
32011220120201211
41313123122300
531003314230
63035005504
7530052223
oct167333260
964816654
1031307440
111674381a
12a599894
136642118
14422d5ba
152b3642a
hex1ddb6b0

31307440 has 80 divisors (see below), whose sum is σ = 78566400. Its totient is φ = 11563776.

The previous prime is 31307413. The next prime is 31307447. The reversal of 31307440 is 4470313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31307447) 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, 65121 + ... + 65599.

It is an arithmetic number, because the mean of its divisors is an integer number (982080).

Almost surely, 231307440 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 31307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

31307440 is an abundant number, since it is smaller than the sum of its proper divisors (47258960).

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

31307440 is a wasteful number, since it uses less digits than its factorization.

31307440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 31307440 is about 5595.3051748765. The cubic root of 31307440 is about 315.1731306598.

Adding to 31307440 its reverse (4470313), we get a palindrome (35777753).

The spelling of 31307440 in words is "thirty-one million, three hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 479 688 760 817 860 958 1520 1634 1720 1916 2395 3268 3440 3832 4085 4790 6536 7664 8170 9101 9580 13072 16340 18202 19160 20597 32680 36404 38320 41194 45505 65360 72808 82388 91010 102985 145616 164776 182020 205970 329552 364040 391343 411940 728080 782686 823880 1565372 1647760 1956715 3130744 3913430 6261488 7826860 15653720 31307440