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1340244400 = 245211227691
BaseRepresentation
bin100111111100010…
…1000000110110000
310110101220110200111
41033320220012300
510221100310100
6340554031104
745132614035
oct11770500660
93411813614
101340244400
11628595500
12314a18494
13184888b31
14c9dd938c
157c9de6ba
hex4fe281b0

1340244400 has 90 divisors (see below), whose sum is σ = 3539397596. Its totient is φ = 487344000.

The previous prime is 1340244397. The next prime is 1340244457. The reversal of 1340244400 is 44420431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34555 + ... + 62245.

Almost surely, 21340244400 is an apocalyptic number.

1340244400 is a gapful number since it is divisible by the number (10) 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 1340244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769698798).

1340244400 is an abundant number, since it is smaller than the sum of its proper divisors (2199153196).

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

1340244400 is a wasteful number, since it uses less digits than its factorization.

1340244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27731 (or 27709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1340244400 is about 36609.3485328543. The cubic root of 1340244400 is about 1102.5407933926.

Adding to 1340244400 its reverse (44420431), we get a palindrome (1384664831).

The spelling of 1340244400 in words is "one billion, three hundred forty million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 27691 48400 55382 110764 138455 221528 276910 304601 443056 553820 609202 692275 1107640 1218404 1384550 1523005 2215280 2436808 2769100 3046010 3350611 4873616 5538200 6092020 6701222 7615025 11076400 12184040 13402444 15230050 16753055 24368080 26804888 30460100 33506110 53609776 60920200 67012220 83765275 121840400 134024440 167530550 268048880 335061100 670122200 1340244400