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2044145400 = 23352111916301
BaseRepresentation
bin111100111010111…
…0010111011111000
312021110102100022220
41321311302323320
513141300123100
6534501044040
7101440643403
oct17165627370
95243370286
102044145400
11959959770
124906b6620
132676629bb
141556aad3a
15be6d2aa0
hex79d72ef8

2044145400 has 192 divisors, whose sum is σ = 7277212800. Its totient is φ = 469440000.

The previous prime is 2044145357. The next prime is 2044145413. The reversal of 2044145400 is 45414402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117250 + ... + 133550.

It is an arithmetic number, because the mean of its divisors is an integer number (37902150).

Almost surely, 22044145400 is an apocalyptic number.

2044145400 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 2044145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638606400).

2044145400 is an abundant number, since it is smaller than the sum of its proper divisors (5233067400).

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

2044145400 is a wasteful number, since it uses less digits than its factorization.

2044145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350 (or 16341 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2044145400 is about 45212.2262225606. The cubic root of 2044145400 is about 1269.1236229676.

Adding to 2044145400 its reverse (45414402), we get a palindrome (2089559802).

The spelling of 2044145400 in words is "two billion, forty-four million, one hundred forty-five thousand, four hundred".