45002034 has 128 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 11456640.

The previous prime is 45002033. The next prime is 45002057. The reversal of 45002034 is 43020054.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 45001998 and 45002016.

It is not an unprimeable number, because it can be changed into a prime (45002033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328414 + ... + 328550.

It is an arithmetic number, because the mean of its divisors is an integer number (993600).

Almost surely, 2^45002034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45002034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63590400).

45002034 is an abundant number, since it is smaller than the sum of its proper divisors (82178766).

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

45002034 is a wasteful number, since it uses less digits than its factorization.

45002034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

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

The square root of 45002034 is about 6708.3555361951. The cubic root of 45002034 is about 355.6946894208.

Adding to 45002034 its reverse (43020054), we get a palindrome (88022088).

It can be divided in two parts, 450020 and 34, that added together give a palindrome (450054).

The spelling of 45002034 in words is "forty-five million, two thousand, thirty-four".