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2406224640 = 2835626621
BaseRepresentation
bin1000111101101100…
…0001001100000000
320012200201212200010
42033123001030000
514411443142030
61034433424520
7113425400121
oct21733011400
96180655603
102406224640
111025284206
12571a0b140
132c4687c81
1418b800048
15e13a56b0
hex8f6c1300

2406224640 has 72 divisors (see below), whose sum is σ = 7684892208. Its totient is φ = 641658880.

The previous prime is 2406224629. The next prime is 2406224641. The reversal of 2406224640 is 464226042.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2406224598 and 2406224607.

It is not an unprimeable number, because it can be changed into a prime (2406224641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309471 + ... + 317150.

It is an arithmetic number, because the mean of its divisors is an integer number (106734614).

Almost surely, 22406224640 is an apocalyptic number.

2406224640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2406224640 is an abundant number, since it is smaller than the sum of its proper divisors (5278667568).

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

2406224640 is an equidigital number, since it uses as much as digits as its factorization.

2406224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626645 (or 626631 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2406224640 is about 49053.2836821349. The cubic root of 2406224640 is about 1340.0223951110.

The spelling of 2406224640 in words is "two billion, four hundred six million, two hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 626621 1253242 1879863 2506484 3133105 3759726 5012968 6266210 7519452 9399315 10025936 12532420 15038904 18798630 20051872 25064840 30077808 37597260 40103744 50129680 60155616 75194520 80207488 100259360 120311232 150389040 160414976 200518720 240622464 300778080 401037440 481244928 601556160 802074880 1203112320 2406224640