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424102320 = 243253119001
BaseRepresentation
bin11001010001110…
…100100110110000
31002120000122000100
4121101310212300
51332032233240
6110025552400
713336544625
oct3121644660
91076018010
10424102320
111a8438394
12ba045700
1369b30025
144047a34c
1527374e30
hex194749b0

424102320 has 120 divisors (see below), whose sum is σ = 1470298752. Its totient is φ = 109440000.

The previous prime is 424102297. The next prime is 424102339. The reversal of 424102320 is 23201424.

424102320 is a `hidden beast` number, since 424 + 10 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 424102293 and 424102302.

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, 12820 + ... + 31820.

Almost surely, 2424102320 is an apocalyptic number.

424102320 is a gapful number since it is divisible by the number (40) 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 424102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735149376).

424102320 is an abundant number, since it is smaller than the sum of its proper divisors (1046196432).

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

424102320 is a wasteful number, since it uses less digits than its factorization.

424102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19051 (or 19042 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 424102320 is about 20593.7446813347. The cubic root of 424102320 is about 751.3175772980.

Adding to 424102320 its reverse (23201424), we get a palindrome (447303744).

The spelling of 424102320 in words is "four hundred twenty-four million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 19001 22320 38002 57003 76004 95005 114006 152008 171009 190010 228012 285015 304016 342018 380020 456024 570030 589031 684036 760040 855045 912048 1140060 1178062 1368072 1520080 1710090 1767093 2280120 2356124 2736144 2945155 3420180 3534186 4560240 4712248 5301279 5890310 6840360 7068372 8835465 9424496 10602558 11780620 13680720 14136744 17670930 21205116 23561240 26506395 28273488 35341860 42410232 47122480 53012790 70683720 84820464 106025580 141367440 212051160 424102320