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3040995828 = 22313194212437
BaseRepresentation
bin1011010101000001…
…1110100111110100
321211221011121001010
42311100132213310
522211443331303
61221431032220
7135234016023
oct26520364764
97757147033
103040995828
1113206211a2
1270a50b670
13396039420
1420bc388ba
1512be90c03
hexb541e9f4

3040995828 has 96 divisors (see below), whose sum is σ = 8066074240. Its totient is φ = 883975680.

The previous prime is 3040995781. The next prime is 3040995857. The reversal of 3040995828 is 8285990403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1246626 + ... + 1249062.

Almost surely, 23040995828 is an apocalyptic number.

3040995828 is a gapful number since it is divisible by the number (38) 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 3040995828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033037120).

3040995828 is an abundant number, since it is smaller than the sum of its proper divisors (5025078412).

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

3040995828 is a wasteful number, since it uses less digits than its factorization.

3040995828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 3040995828 is about 55145.2248884706. The cubic root of 3040995828 is about 1448.7894498845.

The spelling of 3040995828 in words is "three billion, forty million, nine hundred ninety-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 421 494 741 842 988 1263 1482 1684 2437 2526 2964 4874 5052 5473 7311 7999 9748 10946 14622 15998 16419 21892 23997 29244 31681 31996 32838 46303 47994 63362 65676 92606 95043 95988 103987 126724 138909 185212 190086 207974 277818 311961 380172 415948 555636 601939 623922 1025977 1203878 1247844 1805817 2051954 2407756 3077931 3611634 4103908 6155862 7223268 12311724 13337701 19493563 26675402 38987126 40013103 53350804 58480689 77974252 80026206 116961378 160052412 233922756 253416319 506832638 760248957 1013665276 1520497914 3040995828