Search a number
-
+
1432341040 = 245133737223
BaseRepresentation
bin101010101011111…
…1100101000110000
310200211012110112011
41111113330220300
510413134403130
6354044012304
750331461254
oct12527745060
93624173464
101432341040
11675579029
1233b831094
1319a9931a0
14d8330264
1585b3252a
hex555fca30

1432341040 has 80 divisors (see below), whose sum is σ = 3683389248. Its totient is φ = 514556928.

The previous prime is 1432341017. The next prime is 1432341041. The reversal of 1432341040 is 401432341.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1432341041) 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, 19869 + ... + 57091.

Almost surely, 21432341040 is an apocalyptic number.

1432341040 is a gapful number since it is divisible by the number (10) 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 1432341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841694624).

1432341040 is an abundant number, since it is smaller than the sum of its proper divisors (2251048208).

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

1432341040 is a wasteful number, since it uses less digits than its factorization.

1432341040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37286 (or 37280 counting only the distinct ones).

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

The square root of 1432341040 is about 37846.2817196089. The cubic root of 1432341040 is about 1127.2376309983.

Adding to 1432341040 its reverse (401432341), we get a palindrome (1833773381).

The spelling of 1432341040 in words is "one billion, four hundred thirty-two million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 37223 38480 74446 148892 186115 297784 372230 483899 595568 744460 967798 1377251 1488920 1935596 2419495 2754502 2977840 3871192 4838990 5509004 6886255 7742384 9677980 11018008 13772510 17904263 19355960 22036016 27545020 35808526 38711920 55090040 71617052 89521315 110180080 143234104 179042630 286468208 358085260 716170520 1432341040