Search a number
-
+
3005411640 = 23357111719253
BaseRepresentation
bin1011001100100010…
…1111000100111000
321202110012201201020
42303020233010320
522123341133030
61214120222440
7134322402030
oct26310570470
97673181636
103005411640
111302527280
126ba60aa20
1338b85a7aa
142072148c0
15128cb2510
hexb322f138

3005411640 has 768 divisors, whose sum is σ = 12798673920. Its totient is φ = 546324480.

The previous prime is 3005411603. The next prime is 3005411641. The reversal of 3005411640 is 461145003.

It is a super-3 number, since 3×30054116403 (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3005411640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005411641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56705854 + ... + 56705906.

It is an arithmetic number, because the mean of its divisors is an integer number (16664940).

Almost surely, 23005411640 is an apocalyptic number.

3005411640 is a gapful number since it is divisible by the number (30) 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 3005411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399336960).

3005411640 is an abundant number, since it is smaller than the sum of its proper divisors (9793262280).

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

3005411640 is a wasteful number, since it uses less digits than its factorization.

3005411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3005411640 is about 54821.6347804405. The cubic root of 3005411640 is about 1443.1162644304.

Adding to 3005411640 its reverse (461145003), we get a palindrome (3466556643).

The spelling of 3005411640 in words is "three billion, five million, four hundred eleven thousand, six hundred forty".