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2034400554 = 2322312738693
BaseRepresentation
bin111100101000010…
…0111110100101010
312020210002020220200
41321100213310222
513131301304204
6533512133030
7101262055644
oct17120476452
95223066820
102034400554
1195440327a
12489397176
13265630314
14154291894
15bd90a539
hex79427d2a

2034400554 has 48 divisors (see below), whose sum is σ = 4635850752. Its totient is φ = 643525344.

The previous prime is 2034400553. The next prime is 2034400567. The reversal of 2034400554 is 4550044302.

2034400554 is a `hidden beast` number, since 203 + 4 + 400 + 5 + 54 = 666.

It is a super-2 number, since 2×20344005542 = 8277571228231013832, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2034400553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33232 + ... + 71924.

It is an arithmetic number, because the mean of its divisors is an integer number (96580224).

Almost surely, 22034400554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034400554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317925376).

2034400554 is an abundant number, since it is smaller than the sum of its proper divisors (2601450198).

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

2034400554 is a wasteful number, since it uses less digits than its factorization.

2034400554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38851 (or 38848 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2034400554 is about 45104.3296591358. The cubic root of 2034400554 is about 1267.1036885224.

Adding to 2034400554 its reverse (4550044302), we get a palindrome (6584444856).

The spelling of 2034400554 in words is "two billion, thirty-four million, four hundred thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 46 69 127 138 207 254 381 414 762 1143 2286 2921 5842 8763 17526 26289 38693 52578 77386 116079 232158 348237 696474 889939 1779878 2669817 4914011 5339634 8009451 9828022 14742033 16018902 29484066 44226099 88452198 113022253 226044506 339066759 678133518 1017200277 2034400554