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244042400 = 2552743579
BaseRepresentation
bin11101000101111…
…00101010100000
3122000012122020102
432202330222200
5444433324100
640114401532
76022216610
oct1642745240
9560178212
10244042400
11115834738
12698902a8
133b737ab4
14245a8a40
1516658cd5
hexe8bcaa0

244042400 has 72 divisors (see below), whose sum is σ = 680893920. Its totient is φ = 83669760.

The previous prime is 244042399. The next prime is 244042411. The reversal of 244042400 is 4240442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16190 + ... + 27389.

It is an arithmetic number, because the mean of its divisors is an integer number (9456860).

Almost surely, 2244042400 is an apocalyptic number.

244042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244042400 is an abundant number, since it is smaller than the sum of its proper divisors (436851520).

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

244042400 is a wasteful number, since it uses less digits than its factorization.

244042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43606 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 244042400 is about 15621.8564837858. The cubic root of 244042400 is about 624.9161700899.

Adding to 244042400 its reverse (4240442), we get a palindrome (248282842).

It can be divided in two parts, 244042 and 400, that added together give a palindrome (244442).

The spelling of 244042400 in words is "two hundred forty-four million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 43579 87158 174316 217895 305053 348632 435790 610106 697264 871580 1089475 1220212 1394528 1525265 1743160 2178950 2440424 3050530 3486320 4357900 4880848 6101060 6972640 7626325 8715800 9761696 12202120 15252650 17431600 24404240 30505300 34863200 48808480 61010600 122021200 244042400