Search a number
-
+
3440021144 = 237316772927
BaseRepresentation
bin1100110100001010…
…1000111010011000
322212202000011212112
43031002220322120
524021121134034
61325203331452
7151150461110
oct31502507230
98782004775
103440021144
11150589088a
12800080b88
1342a8c9191
14248c28040
151520107ce
hexcd0a8e98

3440021144 has 64 divisors (see below), whose sum is σ = 7623106560. Its totient is φ = 1424142720.

The previous prime is 3440021141. The next prime is 3440021153. The reversal of 3440021144 is 4411200443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440021141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173809 + ... + 1176735.

It is an arithmetic number, because the mean of its divisors is an integer number (119111040).

Almost surely, 23440021144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811553280).

3440021144 is an abundant number, since it is smaller than the sum of its proper divisors (4183085416).

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

3440021144 is a wasteful number, since it uses less digits than its factorization.

3440021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3440021144 is about 58651.6934452877. The cubic root of 3440021144 is about 1509.5715557112.

Adding to 3440021144 its reverse (4411200443), we get a palindrome (7851221587).

The spelling of 3440021144 in words is "three billion, four hundred forty million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 677 868 1354 1736 2708 2927 4739 5416 5854 9478 11708 18956 20489 20987 23416 37912 40978 41974 81956 83948 90737 146909 163912 167896 181474 293818 362948 587636 635159 725896 1175272 1270318 1981579 2540636 3963158 5081272 7926316 13871053 15852632 27742106 55484212 61428949 110968424 122857898 245715796 430002643 491431592 860005286 1720010572 3440021144