Search a number
-
+
3403132432 = 2471071991427
BaseRepresentation
bin1100101011010111…
…1010111000010000
322210011121001001221
43022311322320100
523432200214212
61321404534424
7150222101620
oct31265727020
98704531057
103403132432
111496a85847
127ab851414
1342308183b
14243d84880
1514db75807
hexcad7ae10

3403132432 has 80 divisors (see below), whose sum is σ = 7649510400. Its totient is φ = 1436586624.

The previous prime is 3403132429. The next prime is 3403132433. The reversal of 3403132432 is 2342313043.

3403132432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3403132397 and 3403132406.

It is not an unprimeable number, because it can be changed into a prime (3403132433) 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, 2384103 + ... + 2385529.

It is an arithmetic number, because the mean of its divisors is an integer number (95618880).

Almost surely, 23403132432 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 3403132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824755200).

3403132432 is an abundant number, since it is smaller than the sum of its proper divisors (4246377968).

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

3403132432 is a wasteful number, since it uses less digits than its factorization.

3403132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3403132432 is about 58336.3731474626. The cubic root of 3403132432 is about 1504.1562408419.

Adding to 3403132432 its reverse (2342313043), we get a palindrome (5745445475).

The spelling of 3403132432 in words is "three billion, four hundred three million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 199 214 398 428 749 796 856 1393 1427 1498 1592 1712 2786 2854 2996 3184 5572 5708 5992 9989 11144 11416 11984 19978 21293 22288 22832 39956 42586 79912 85172 149051 152689 159824 170344 283973 298102 305378 340688 567946 596204 610756 1068823 1135892 1192408 1221512 1987811 2137646 2271784 2384816 2443024 3975622 4275292 4543568 7951244 8550584 15902488 17101168 30385111 31804976 60770222 121540444 212695777 243080888 425391554 486161776 850783108 1701566216 3403132432