Search a number
-
+
24770340 = 2233576553
BaseRepresentation
bin101111001111…
…1011100100100
31201121110112000
41132133130210
522320122330
62242525300
7420354510
oct136373444
951543460
1024770340
1112a89361
128366830
13519380a
14340b140
152294560
hex179f724

24770340 has 96 divisors (see below), whose sum is σ = 88085760. Its totient is φ = 5660928.

The previous prime is 24770323. The next prime is 24770341. The reversal of 24770340 is 4307742.

It is a super-2 number, since 2×247703402 = 1227139487431200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (24770341) 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, 504 + ... + 7056.

It is an arithmetic number, because the mean of its divisors is an integer number (917560).

Almost surely, 224770340 is an apocalyptic number.

24770340 is a gapful number since it is divisible by the number (20) 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 24770340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44042880).

24770340 is an abundant number, since it is smaller than the sum of its proper divisors (63315420).

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

24770340 is a wasteful number, since it uses less digits than its factorization.

24770340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 24770340 is about 4976.9810126220. The cubic root of 24770340 is about 291.5036447718.

The spelling of 24770340 in words is "twenty-four million, seven hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 6553 13106 19659 26212 32765 39318 45871 58977 65530 78636 91742 98295 117954 131060 137613 176931 183484 196590 229355 235908 275226 294885 353862 393180 412839 458710 550452 589770 688065 707724 825678 884655 917420 1179540 1238517 1376130 1651356 1769310 2064195 2477034 2752260 3538620 4128390 4954068 6192585 8256780 12385170 24770340