Search a number
-
+
31036368 = 24311431367
BaseRepresentation
bin111011001100…
…1001111010000
32011101210220010
41312121033100
530421130433
63025114520
7524543016
oct166311720
964353803
1031036368
11165790a0
12a488a40
13657891c
14419c8b6
152ad0e63
hex1d993d0

31036368 has 80 divisors (see below), whose sum is σ = 89565696. Its totient is φ = 9179520.

The previous prime is 31036349. The next prime is 31036381. The reversal of 31036368 is 86363013.

It is a super-4 number, since 4×310363684 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22021 + ... + 23387.

Almost surely, 231036368 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 31036368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44782848).

31036368 is an abundant number, since it is smaller than the sum of its proper divisors (58529328).

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

31036368 is a wasteful number, since it uses less digits than its factorization.

31036368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 31036368 is about 5571.0293483341. The cubic root of 31036368 is about 314.2608621041.

The spelling of 31036368 in words is "thirty-one million, thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1367 1419 1892 2064 2734 2838 3784 4101 5468 5676 7568 8202 10936 11352 15037 16404 21872 22704 30074 32808 45111 58781 60148 65616 90222 117562 120296 176343 180444 235124 240592 352686 360888 470248 646591 705372 721776 940496 1293182 1410744 1939773 2586364 2821488 3879546 5172728 7759092 10345456 15518184 31036368