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244051040 = 2552117229
BaseRepresentation
bin11101000101111…
…10110001100000
3122000020002002102
432202332301200
5444434113130
640114505532
76022254032
oct1642766140
9560202072
10244051040
11115840182
12698952a8
133b73b9cc
14245abc52
151665b645
hexe8bec60

244051040 has 48 divisors (see below), whose sum is σ = 579383280. Its totient is φ = 97144320.

The previous prime is 244051039. The next prime is 244051043. The reversal of 244051040 is 40150442.

244051040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244051043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30146 + ... + 37374.

It is an arithmetic number, because the mean of its divisors is an integer number (12070485).

Almost surely, 2244051040 is an apocalyptic number.

244051040 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 244051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289691640).

244051040 is an abundant number, since it is smaller than the sum of its proper divisors (335332240).

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

244051040 is a wasteful number, since it uses less digits than its factorization.

244051040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 244051040 is about 15622.1330169731. The cubic root of 244051040 is about 624.9235447811.

The spelling of 244051040 in words is "two hundred forty-four million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 844 1055 1688 2110 3376 4220 6752 7229 8440 14458 16880 28916 33760 36145 57832 72290 115664 144580 231328 289160 578320 1156640 1525319 3050638 6101276 7626595 12202552 15253190 24405104 30506380 48810208 61012760 122025520 244051040