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244038944 = 25172931499
BaseRepresentation
bin11101000101110…
…11110100100000
3122000012110111102
432202323310200
5444433221234
640114333532
76022203542
oct1642736440
9560173442
10244038944
11115832086
126988a2a8
133b736356
14245a7692
1516657c7e
hexe8bbd20

244038944 has 96 divisors (see below), whose sum is σ = 544320000. Its totient is φ = 107089920.

The previous prime is 244038943. The next prime is 244038959. The reversal of 244038944 is 449830442.

244038944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244038898 and 244038907.

It is not an unprimeable number, because it can be changed into a prime (244038941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488807 + ... + 489305.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2244038944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

244038944 is an abundant number, since it is smaller than the sum of its proper divisors (300281056).

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

244038944 is a wasteful number, since it uses less digits than its factorization.

244038944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 244038944 is about 15621.7458691402. The cubic root of 244038944 is about 624.9132201647.

The spelling of 244038944 in words is "two hundred forty-four million, thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 68 116 124 136 232 248 272 464 493 496 499 527 544 899 928 986 992 998 1054 1798 1972 1996 2108 3596 3944 3992 4216 7192 7888 7984 8432 8483 14384 14471 15283 15469 15776 15968 16864 16966 28768 28942 30566 30938 33932 57884 61132 61876 67864 115768 122264 123752 135728 231536 244528 246007 247504 262973 271456 448601 463072 489056 492014 495008 525946 897202 984028 1051892 1794404 1968056 2103784 3588808 3936112 4207568 7177616 7626217 7872224 8415136 14355232 15252434 30504868 61009736 122019472 244038944