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2034441400 = 235210993323
BaseRepresentation
bin111100101000011…
…0001110010111000
312020210011022221111
41321100301302320
513131304111100
6533513050104
7101262316015
oct17120616270
95223138844
102034441400
11954430a32
124893b6934
13265645aa4
141542a270c
15bd9176ba
hex79431cb8

2034441400 has 48 divisors (see below), whose sum is σ = 4773522600. Its totient is φ = 806302080.

The previous prime is 2034441347. The next prime is 2034441401. The reversal of 2034441400 is 41444302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034441401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24862 + ... + 68461.

Almost surely, 22034441400 is an apocalyptic number.

2034441400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034441400 is an abundant number, since it is smaller than the sum of its proper divisors (2739081200).

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

2034441400 is a wasteful number, since it uses less digits than its factorization.

2034441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93448 (or 93439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2034441400 is about 45104.7824515317. The cubic root of 2034441400 is about 1267.1121686241.

Adding to 2034441400 its reverse (41444302), we get a palindrome (2075885702).

The spelling of 2034441400 in words is "two billion, thirty-four million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 93323 186646 373292 466615 746584 933230 1866460 2333075 3732920 4666150 9332300 10172207 18664600 20344414 40688828 50861035 81377656 101722070 203444140 254305175 406888280 508610350 1017220700 2034441400