Search a number
-
+
2045000340 = 2232511361113
BaseRepresentation
bin111100111100100…
…0011101010010100
312021112000210002100
41321321003222110
513142010002330
6534531242100
7101451134055
oct17171035224
95245023070
102045000340
1195a393029
12490a49330
132678a1b96
1415585072c
15be801060
hex79e43a94

2045000340 has 36 divisors (see below), whose sum is σ = 6203168244. Its totient is φ = 545333376.

The previous prime is 2045000333. The next prime is 2045000341. The reversal of 2045000340 is 430005402.

It is a happy number.

2045000340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1569585924 + 475414416 = 39618^2 + 21804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045000341) 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, 5680377 + ... + 5680736.

It is an arithmetic number, because the mean of its divisors is an integer number (172310229).

Almost surely, 22045000340 is an apocalyptic number.

2045000340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045000340 is an abundant number, since it is smaller than the sum of its proper divisors (4158167904).

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

2045000340 is a wasteful number, since it uses less digits than its factorization.

2045000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11361128 (or 11361123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2045000340 is about 45221.6799776390. The cubic root of 2045000340 is about 1269.3005303635.

Adding to 2045000340 its reverse (430005402), we get a palindrome (2475005742).

The spelling of 2045000340 in words is "two billion, forty-five million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11361113 22722226 34083339 45444452 56805565 68166678 102250017 113611130 136333356 170416695 204500034 227222260 340833390 409000068 511250085 681666780 1022500170 2045000340