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2406972834 = 2377127619
BaseRepresentation
bin1000111101110111…
…0111110110100010
320012202010220000000
42033131313312202
514412141112314
61034501440430
7113434634340
oct21735676642
96182126000
102406972834
111025745352
12572110116
132c488a6a6
1418b956990
15e14a2209
hex8f777da2

2406972834 has 128 divisors (see below), whose sum is σ = 6247219200. Its totient is φ = 681189264.

The previous prime is 2406972833. The next prime is 2406972851. The reversal of 2406972834 is 4382796042.

It is a super-2 number, since 2×24069728342 = 11587036447227983112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2406972834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406972833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3888177 + ... + 3888795.

It is an arithmetic number, because the mean of its divisors is an integer number (48806400).

Almost surely, 22406972834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406972834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123609600).

2406972834 is an abundant number, since it is smaller than the sum of its proper divisors (3840246366).

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

2406972834 is an equidigital number, since it uses as much as digits as its factorization.

2406972834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2406972834 is about 49060.9094289945. The cubic root of 2406972834 is about 1340.1612700385.

The spelling of 2406972834 in words is "two billion, four hundred six million, nine hundred seventy-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 127 162 189 243 254 378 381 486 567 619 729 762 889 1134 1143 1238 1458 1701 1778 1857 2187 2286 2667 3402 3429 3714 4333 4374 5103 5334 5571 6858 8001 8666 10206 10287 11142 12999 15309 16002 16713 20574 24003 25998 30618 30861 33426 38997 48006 50139 61722 72009 77994 78613 92583 100278 116991 144018 150417 157226 185166 216027 233982 235839 277749 300834 350973 432054 451251 471678 550291 555498 648081 701946 707517 902502 1052919 1100582 1296162 1353753 1415034 1650873 1944243 2105838 2122551 2707506 3158757 3301746 3888486 4245102 4952619 6317514 6367653 9476271 9905238 12735306 14857857 18952542 19102959 29715714 38205918 44573571 57308877 89147142 114617754 133720713 171926631 267441426 343853262 401162139 802324278 1203486417 2406972834