Search a number
-
+
2406668376 = 2337174319597
BaseRepresentation
bin1000111101110010…
…1101100001011000
320012201120102100210
42033130231201120
514412101342001
61034451131120
7113432225610
oct21734554130
96181512323
102406668376
111025557632
12571ba3aa0
132c47b1c38
1418b8b7a40
15e1441dd6
hex8f72d858

2406668376 has 128 divisors (see below), whose sum is σ = 7450375680. Its totient is φ = 632088576.

The previous prime is 2406668371. The next prime is 2406668377. The reversal of 2406668376 is 6738666042.

2406668376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406668371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113010 + ... + 132606.

It is an arithmetic number, because the mean of its divisors is an integer number (58206060).

Almost surely, 22406668376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406668376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725187840).

2406668376 is an abundant number, since it is smaller than the sum of its proper divisors (5043707304).

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

2406668376 is a wasteful number, since it uses less digits than its factorization.

2406668376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19673 (or 19669 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The square root of 2406668376 is about 49057.8064735879. The cubic root of 2406668376 is about 1340.1047619884.

The spelling of 2406668376 in words is "two billion, four hundred six million, six hundred sixty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 43 51 56 68 84 86 102 119 129 136 168 172 204 238 258 301 344 357 408 476 516 602 714 731 903 952 1032 1204 1428 1462 1806 2193 2408 2856 2924 3612 4386 5117 5848 7224 8772 10234 15351 17544 19597 20468 30702 39194 40936 58791 61404 78388 117582 122808 137179 156776 235164 274358 333149 411537 470328 548716 666298 823074 842671 999447 1097432 1332596 1646148 1685342 1998894 2332043 2528013 2665192 3292296 3370684 3997788 4664086 5056026 5898697 6741368 6996129 7995576 9328172 10112052 11797394 13992258 14325407 17696091 18656344 20224104 23594788 27984516 28650814 35392182 42976221 47189576 55969032 57301628 70784364 85952442 100277849 114603256 141568728 171904884 200555698 300833547 343809768 401111396 601667094 802222792 1203334188 2406668376