Search a number
-
+
1332996948 = 2232291276817
BaseRepresentation
bin100111101110011…
…1110101101010100
310102220021021001100
41033130332231110
510212221400243
6340134430100
745014200323
oct11734765524
93386237040
101332996948
11624495378
12312502330
1318321c0ba
14c90700ba
157c05c0d3
hex4f73eb54

1332996948 has 36 divisors (see below), whose sum is σ = 3485713140. Its totient is φ = 429010176.

The previous prime is 1332996943. The next prime is 1332996983. The reversal of 1332996948 is 8496992331.

It can be written as a sum of positive squares in 2 ways, for example, as 823230864 + 509766084 = 28692^2 + 22578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1332996894 and 1332996903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332996943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637365 + ... + 639452.

It is an arithmetic number, because the mean of its divisors is an integer number (96825365).

Almost surely, 21332996948 is an apocalyptic number.

1332996948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1332996948 is an abundant number, since it is smaller than the sum of its proper divisors (2152716192).

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

1332996948 is a wasteful number, since it uses less digits than its factorization.

1332996948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276856 (or 1276851 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 1332996948 is about 36510.2307305774. The cubic root of 1332996948 is about 1100.5498485216.

The spelling of 1332996948 in words is "one billion, three hundred thirty-two million, nine hundred ninety-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1276817 2553634 3830451 5107268 7660902 11491353 15321804 22982706 37027693 45965412 74055386 111083079 148110772 222166158 333249237 444332316 666498474 1332996948