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2406068440 = 235434573061
BaseRepresentation
bin1000111101101001…
…1011000011011000
320012200102221101221
42033122123003120
514411423142230
61034430221424
7113424146536
oct21732330330
96180387357
102406068440
111025187916
12571954874
132c4631b49
1418b79d156
15e137427a
hex8f69b0d8

2406068440 has 64 divisors (see below), whose sum is σ = 5553488160. Its totient is φ = 937681920.

The previous prime is 2406068419. The next prime is 2406068473. The reversal of 2406068440 is 448606042.

It is a happy number.

2406068440 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 = 2406068396 and 2406068405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784510 + ... + 787570.

Almost surely, 22406068440 is an apocalyptic number.

2406068440 is a gapful number since it is divisible by the number (20) 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 2406068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776744080).

2406068440 is an abundant number, since it is smaller than the sum of its proper divisors (3147419720).

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

2406068440 is a wasteful number, since it uses less digits than its factorization.

2406068440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 2406068440 is about 49051.6915100794. The cubic root of 2406068440 is about 1339.9933986457.

The spelling of 2406068440 in words is "two billion, four hundred six million, sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 457 860 914 1720 1828 2285 3061 3656 4570 6122 9140 12244 15305 18280 19651 24488 30610 39302 61220 78604 98255 122440 131623 157208 196510 263246 393020 526492 658115 786040 1052984 1316230 1398877 2632460 2797754 5264920 5595508 6994385 11191016 13988770 27977540 55955080 60151711 120303422 240606844 300758555 481213688 601517110 1203034220 2406068440