Search a number
-
+
8334040 = 23511133147
BaseRepresentation
bin11111110010101011011000
3120200102011011
4133302223120
54113142130
6454343304
7130560331
oct37625330
916612134
108334040
114782540
12295ab34
13195a4b0
14116d288
15ae952a
hex7f2ad8

8334040 has 128 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 2649600.

The previous prime is 8334019. The next prime is 8334041. The reversal of 8334040 is 404338.

8334040 = T376 + T377 + ... + T468.

It is a super-4 number, since 4×83340404 (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8334041) 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, 177297 + ... + 177343.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 28334040 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 8334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

8334040 is an abundant number, since it is smaller than the sum of its proper divisors (14890280).

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

8334040 is a wasteful number, since it uses less digits than its factorization.

8334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 8334040 is about 2886.8737416105. The cubic root of 8334040 is about 202.7457971430.

Adding to 8334040 its reverse (404338), we get a palindrome (8738378).

The spelling of 8334040 in words is "eight million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 31 40 44 47 52 55 62 65 88 94 104 110 124 130 143 155 188 220 235 248 260 286 310 341 376 403 440 470 517 520 572 611 620 682 715 806 940 1034 1144 1222 1240 1364 1430 1457 1612 1705 1880 2015 2068 2444 2585 2728 2860 2914 3055 3224 3410 4030 4136 4433 4888 5170 5720 5828 6110 6721 6820 7285 8060 8866 10340 11656 12220 13442 13640 14570 16027 16120 17732 18941 20680 22165 24440 26884 29140 32054 33605 35464 37882 44330 53768 58280 64108 67210 75764 80135 88660 94705 128216 134420 151528 160270 177320 189410 208351 268840 320540 378820 416702 641080 757640 833404 1041755 1666808 2083510 4167020 8334040