Search a number
-
+
1003432144 = 2411131812423
BaseRepresentation
bin111011110011110…
…010100011010000
32120221010122010111
4323303302203100
54023334312034
6243323011104
733603014101
oct7363624320
92527118114
101003432144
11475458470
12240069a94
1312cb6c440
14973a23a8
155d15d364
hex3bcf28d0

1003432144 has 80 divisors (see below), whose sum is σ = 2297602944. Its totient is φ = 418521600.

The previous prime is 1003432081. The next prime is 1003432153. The reversal of 1003432144 is 4412343001.

It is a super-2 number, since 2×10034321442 = 2013752135224873472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412917 + ... + 415339.

Almost surely, 21003432144 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 1003432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148801472).

1003432144 is an abundant number, since it is smaller than the sum of its proper divisors (1294170800).

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

1003432144 is a wasteful number, since it uses less digits than its factorization.

1003432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1003432144 is about 31676.9970799001. The cubic root of 1003432144 is about 1001.1427416441.

Adding to 1003432144 its reverse (4412343001), we get a palindrome (5415775145).

The spelling of 1003432144 in words is "one billion, three million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 181 208 286 362 572 724 1144 1448 1991 2288 2353 2423 2896 3982 4706 4846 7964 9412 9692 15928 18824 19384 25883 26653 31499 31856 37648 38768 51766 53306 62998 103532 106612 125996 207064 213224 251992 346489 414128 426448 438563 503984 692978 877126 1385956 1754252 2771912 3508504 4824193 5543824 5701319 7017008 9648386 11402638 19296772 22805276 38593544 45610552 62714509 77187088 91221104 125429018 250858036 501716072 1003432144