Search a number
-
+
9326040 = 23352331109
BaseRepresentation
bin100011100100…
…110111011000
3122112210220220
4203210313120
54341413130
6531520040
7142161423
oct43446730
918483826
109326040
11529a879
123159020
131c16b89
14134a9ba
15c43410
hex8e4dd8

9326040 has 128 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 2280960.

The previous prime is 9326033. The next prime is 9326041. The reversal of 9326040 is 406239.

9326040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×93260403 (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9326040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9326041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85506 + ... + 85614.

It is an arithmetic number, because the mean of its divisors is an integer number (237600).

Almost surely, 29326040 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 9326040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

9326040 is an abundant number, since it is smaller than the sum of its proper divisors (21086760).

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

9326040 is a wasteful number, since it uses less digits than its factorization.

9326040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

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

The square root of 9326040 is about 3053.8565781647. The cubic root of 9326040 is about 210.4904635878.

The spelling of 9326040 in words is "nine million, three hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 109 115 120 124 138 155 184 186 218 230 248 276 310 327 345 372 436 460 465 545 552 620 654 690 713 744 872 920 930 1090 1240 1308 1380 1426 1635 1860 2139 2180 2507 2616 2760 2852 3270 3379 3565 3720 4278 4360 5014 5704 6540 6758 7130 7521 8556 10028 10137 10695 12535 13080 13516 14260 15042 16895 17112 20056 20274 21390 25070 27032 28520 30084 33790 37605 40548 42780 50140 50685 60168 67580 75210 77717 81096 85560 100280 101370 135160 150420 155434 202740 233151 300840 310868 388585 405480 466302 621736 777170 932604 1165755 1554340 1865208 2331510 3108680 4663020 9326040