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3424041120 = 253522513169
BaseRepresentation
bin1100110000010110…
…1011100010100000
322211121221022101210
43030011223202200
524003023303440
61323433030120
7150564604113
oct31405534240
98747838353
103424041120
1114a7866855
127b6855340
134274c2746
14246a6857a
15150905a80
hexcc16b8a0

3424041120 has 96 divisors (see below), whose sum is σ = 10793926080. Its totient is φ = 912384000.

The previous prime is 3424041079. The next prime is 3424041139. The reversal of 3424041120 is 211404243.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1078896 + ... + 1082064.

It is an arithmetic number, because the mean of its divisors is an integer number (112436730).

Almost surely, 23424041120 is an apocalyptic number.

3424041120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424041120 is an abundant number, since it is smaller than the sum of its proper divisors (7369884960).

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

3424041120 is a wasteful number, since it uses less digits than its factorization.

3424041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3424041120 is about 58515.3067154228. The cubic root of 3424041120 is about 1507.2304422474.

Adding to 3424041120 its reverse (211404243), we get a palindrome (3635445363).

The spelling of 3424041120 in words is "three billion, four hundred twenty-four million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2251 3169 4502 6338 6753 9004 9507 11255 12676 13506 15845 18008 19014 22510 25352 27012 31690 33765 36016 38028 45020 47535 50704 54024 63380 67530 72032 76056 90040 95070 101408 108048 126760 135060 152112 180080 190140 216096 253520 270120 304224 360160 380280 507040 540240 760560 1080480 1521120 7133419 14266838 21400257 28533676 35667095 42800514 57067352 71334190 85601028 107001285 114134704 142668380 171202056 214002570 228269408 285336760 342404112 428005140 570673520 684808224 856010280 1141347040 1712020560 3424041120