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244145664 = 29347292
BaseRepresentation
bin11101000110101…
…01111000000000
3122000101212220000
432203111320000
51000000130124
640120520000
76023126640
oct1643257000
9560355800
10244145664
111158a5284
1269920000
133b772ab9
14245d4520
15166796c9
hexe8d5e00

244145664 has 300 divisors, whose sum is σ = 862519944. Its totient is φ = 67350528.

The previous prime is 244145663. The next prime is 244145747. The reversal of 244145664 is 466541442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244145663) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8418802 + ... + 8418830.

Almost surely, 2244145664 is an apocalyptic number.

244145664 is a gapful number since it is divisible by the number (24) 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 244145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431259972).

244145664 is an abundant number, since it is smaller than the sum of its proper divisors (618374280).

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

244145664 is an frugal number, since it uses more digits than its factorization.

244145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 244145664 is about 15625.1612471680. The cubic root of 244145664 is about 625.0042999171.

The spelling of 244145664 in words is "two hundred forty-four million, one hundred forty-five thousand, six hundred sixty-four".