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4406812344 = 2333114343133
BaseRepresentation
bin1000001101010101…
…01001111010111000
3102101010012021002000
410012222221322320
533011120443334
62005141141000
7214130200254
oct40652517270
912333167060
104406812344
111961592380
12a2b9ba760
13552ca998c
142db3ad264
151abd32299
hex106aa9eb8

4406812344 has 128 divisors (see below), whose sum is σ = 13664851200. Its totient is φ = 1304311680.

The previous prime is 4406812337. The next prime is 4406812381. The reversal of 4406812344 is 4432186044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4406812299 and 4406812308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80602 + ... + 123734.

It is an arithmetic number, because the mean of its divisors is an integer number (106756650).

Almost surely, 24406812344 is an apocalyptic number.

4406812344 is a gapful number since it is divisible by the number (44) 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 4406812344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832425600).

4406812344 is an abundant number, since it is smaller than the sum of its proper divisors (9258038856).

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

4406812344 is a wasteful number, since it uses less digits than its factorization.

4406812344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43202 (or 43192 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4406812344 is about 66383.8259216807. The cubic root of 4406812344 is about 1639.4877866983.

Adding to 4406812344 its reverse (4432186044), we get a palindrome (8838998388).

The spelling of 4406812344 in words is "four billion, four hundred six million, eight hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 516 594 774 792 946 1032 1161 1188 1419 1548 1892 2322 2376 2838 3096 3784 4257 4644 5676 8514 9288 11352 12771 17028 25542 34056 43133 51084 86266 102168 129399 172532 258798 345064 388197 474463 517596 776394 948926 1035192 1164591 1423389 1552788 1854719 1897852 2329182 2846778 3105576 3709438 3795704 4270167 4658364 5564157 5693556 7418876 8540334 9316728 11128314 11387112 12810501 14837752 16692471 17080668 20401909 22256628 25621002 33384942 34161336 40803818 44513256 50077413 51242004 61205727 66769884 81607636 100154826 102484008 122411454 133539768 163215272 183617181 200309652 244822908 367234362 400619304 489645816 550851543 734468724 1101703086 1468937448 2203406172 4406812344