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3040442040 = 233530782531
BaseRepresentation
bin1011010100111001…
…0111011010111000
321211220010110101110
42311032113122320
522211323121130
61221411120320
7135226221336
oct26516273270
97756113343
103040442040
111320283119
1270a2a30a0
13395ba433c
1420bb32b56
1512bdd1ab0
hexb53976b8

3040442040 has 64 divisors (see below), whose sum is σ = 9151148160. Its totient is φ = 808133760.

The previous prime is 3040442029. The next prime is 3040442047. The reversal of 3040442040 is 402440403.

It is a junction number, because it is equal to n+sod(n) for n = 3040441998 and 3040442016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040442047) 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, 4426 + ... + 78105.

It is an arithmetic number, because the mean of its divisors is an integer number (142986690).

Almost surely, 23040442040 is an apocalyptic number.

3040442040 is a gapful number since it is divisible by the number (30) 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 3040442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575574080).

3040442040 is an abundant number, since it is smaller than the sum of its proper divisors (6110706120).

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

3040442040 is a wasteful number, since it uses less digits than its factorization.

3040442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82852 (or 82848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3040442040 is about 55140.2034816703. The cubic root of 3040442040 is about 1448.7014994274.

Adding to 3040442040 its reverse (402440403), we get a palindrome (3442882443).

The spelling of 3040442040 in words is "three billion, forty million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 6140 7368 9210 12280 18420 36840 82531 165062 247593 330124 412655 495186 660248 825310 990372 1237965 1650620 1980744 2475930 3301240 4951860 9903720 25337017 50674034 76011051 101348068 126685085 152022102 202696136 253370170 304044204 380055255 506740340 608088408 760110510 1013480680 1520221020 3040442040