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2440000700 = 2252314491753
BaseRepresentation
bin1001000101101111…
…0111010010111100
320022001021212201022
42101123313102330
514444120010300
61042041403312
7114315443444
oct22133672274
96261255638
102440000700
111042353705
12581199538
132cb6828c7
141920b3124
15e4328285
hex916f74bc

2440000700 has 72 divisors (see below), whose sum is σ = 5480899200. Its totient is φ = 941875200.

The previous prime is 2440000699. The next prime is 2440000709. The reversal of 2440000700 is 70000442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440000709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1391024 + ... + 1392776.

It is an arithmetic number, because the mean of its divisors is an integer number (76123600).

Almost surely, 22440000700 is an apocalyptic number.

2440000700 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 2440000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740449600).

2440000700 is an abundant number, since it is smaller than the sum of its proper divisors (3040898500).

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

2440000700 is a wasteful number, since it uses less digits than its factorization.

2440000700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2440000700 is about 49396.3632264563. The cubic root of 2440000700 is about 1346.2632281941.

The spelling of 2440000700 in words is "two billion, four hundred forty million, seven hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 449 620 775 898 1550 1753 1796 2245 3100 3506 4490 7012 8765 8980 11225 13919 17530 22450 27838 35060 43825 44900 54343 55676 69595 87650 108686 139190 175300 217372 271715 278380 347975 543430 695950 787097 1086860 1358575 1391900 1574194 2717150 3148388 3935485 5434300 7870970 15741940 19677425 24400007 39354850 48800014 78709700 97600028 122000035 244000070 488000140 610000175 1220000350 2440000700