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244430032 = 2473114049
BaseRepresentation
bin11101001000110…
…11010011010000
3122000221022222011
432210123103100
51000033230112
640130552304
76025423000
oct1644332320
9560838864
10244430032
11115a799a0
1269a38694
133b842372
142466a000
15166d3aa7
hexe91b4d0

244430032 has 80 divisors (see below), whose sum is σ = 602640000. Its totient is φ = 95208960.

The previous prime is 244430027. The next prime is 244430047. The reversal of 244430032 is 230034442.

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

It is a junction number, because it is equal to n+sod(n) for n = 244429985 and 244430012.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 58344 + ... + 62392.

It is an arithmetic number, because the mean of its divisors is an integer number (7533000).

Almost surely, 2244430032 is an apocalyptic number.

244430032 is a gapful number since it is divisible by the number (22) 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 244430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301320000).

244430032 is an abundant number, since it is smaller than the sum of its proper divisors (358209968).

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

244430032 is a wasteful number, since it uses less digits than its factorization.

244430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 244430032 is about 15634.2582810954. The cubic root of 244430032 is about 625.2468631209.

Adding to 244430032 its reverse (230034442), we get a palindrome (474464474).

The spelling of 244430032 in words is "two hundred forty-four million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 686 784 1078 1232 1372 2156 2744 3773 4049 4312 5488 7546 8098 8624 15092 16196 28343 30184 32392 44539 56686 60368 64784 89078 113372 178156 198401 226744 311773 356312 396802 453488 623546 712624 793604 1247092 1388807 1587208 2182411 2494184 2777614 3174416 4364822 4988368 5555228 8729644 11110456 15276877 17459288 22220912 30553754 34918576 61107508 122215016 244430032