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3424553040 = 243537937649
BaseRepresentation
bin1100110000011110…
…1000100001010000
322211122220022121210
43030013220201100
524003141144130
61323452020120
7150602135436
oct31407504120
98748808553
103424553040
1114a8086427
127b6a61640
1342764175c
14246b5cd56
151509a75b0
hexcc1e8850

3424553040 has 80 divisors (see below), whose sum is σ = 10644408000. Its totient is φ = 910780416.

The previous prime is 3424553029. The next prime is 3424553047. The reversal of 3424553040 is 403554243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3424552989 and 3424553007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424553047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72136 + ... + 109784.

It is an arithmetic number, because the mean of its divisors is an integer number (133055100).

Almost surely, 23424553040 is an apocalyptic number.

3424553040 is a gapful number since it is divisible by the number (30) 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 3424553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322204000).

3424553040 is an abundant number, since it is smaller than the sum of its proper divisors (7219854960).

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

3424553040 is a wasteful number, since it uses less digits than its factorization.

3424553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38044 (or 38038 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3424553040 is about 58519.6807920207. The cubic root of 3424553040 is about 1507.3055526147.

The spelling of 3424553040 in words is "three billion, four hundred twenty-four million, five hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 379 758 1137 1516 1895 2274 3032 3790 4548 5685 6064 7580 9096 11370 15160 18192 22740 30320 37649 45480 75298 90960 112947 150596 188245 225894 301192 376490 451788 564735 602384 752980 903576 1129470 1505960 1807152 2258940 3011920 4517880 9035760 14268971 28537942 42806913 57075884 71344855 85613826 114151768 142689710 171227652 214034565 228303536 285379420 342455304 428069130 570758840 684910608 856138260 1141517680 1712276520 3424553040