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2401343120 = 245111927559
BaseRepresentation
bin1000111100100001…
…1001011010010000
320012100112212111002
42033020121122100
514404220434440
61034141041132
7113336036231
oct21710313220
96170485432
102401343120
11102254a6a0
125702561a8
132c36690b7
1418accd088
15e0c3e115
hex8f219690

2401343120 has 120 divisors (see below), whose sum is σ = 6428963520. Its totient is φ = 827147520.

The previous prime is 2401343093. The next prime is 2401343159. The reversal of 2401343120 is 213431042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2401343092 and 2401343101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313901 + ... + 321459.

It is an arithmetic number, because the mean of its divisors is an integer number (53574696).

Almost surely, 22401343120 is an apocalyptic number.

2401343120 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 2401343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214481760).

2401343120 is an abundant number, since it is smaller than the sum of its proper divisors (4027620400).

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

2401343120 is a wasteful number, since it uses less digits than its factorization.

2401343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2401343120 is about 49003.5010994113. The cubic root of 2401343120 is about 1339.1156115834.

Adding to 2401343120 its reverse (213431042), we get a palindrome (2614774162).

The spelling of 2401343120 in words is "two billion, four hundred one million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 361 380 418 440 722 760 836 880 1045 1444 1520 1672 1805 2090 2888 3344 3610 3971 4180 5776 7220 7559 7942 8360 14440 15118 15884 16720 19855 28880 30236 31768 37795 39710 60472 63536 75590 79420 83149 120944 143621 151180 158840 166298 287242 302360 317680 332596 415745 574484 604720 665192 718105 831490 1148968 1330384 1436210 1579831 1662980 2297936 2728799 2872420 3159662 3325960 5457598 5744840 6319324 6651920 7899155 10915196 11489680 12638648 13643995 15798310 21830392 25277296 27287990 30016789 31596620 43660784 54575980 60033578 63193240 109151960 120067156 126386480 150083945 218303920 240134312 300167890 480268624 600335780 1200671560 2401343120