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3424120040 = 2351119739503
BaseRepresentation
bin1100110000010111…
…1110110011101000
322211122002022122202
43030011332303220
524003033320130
61323434435332
7150565353155
oct31405766350
98748068582
103424120040
1114a7910080
127b6892b48
1342751c643
14246a8922c
1515091e145
hexcc17ece8

3424120040 has 64 divisors (see below), whose sum is σ = 8447535360. Its totient is φ = 1238782720.

The previous prime is 3424120003. The next prime is 3424120069. The reversal of 3424120040 is 400214243.

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 = 3424119994 and 3424120021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66929 + ... + 106431.

It is an arithmetic number, because the mean of its divisors is an integer number (131992740).

Almost surely, 23424120040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223767680).

3424120040 is an abundant number, since it is smaller than the sum of its proper divisors (5023415320).

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

3424120040 is a wasteful number, since it uses less digits than its factorization.

3424120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39722 (or 39718 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3424120040 is about 58515.9810650048. The cubic root of 3424120040 is about 1507.2420221037.

Adding to 3424120040 its reverse (400214243), we get a palindrome (3824334283).

The spelling of 3424120040 in words is "three billion, four hundred twenty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 788 985 1576 1970 2167 3940 4334 7880 8668 10835 17336 21670 39503 43340 79006 86680 158012 197515 316024 395030 434533 790060 869066 1580120 1738132 2172665 3476264 4345330 7782091 8690660 15564182 17381320 31128364 38910455 62256728 77820910 85603001 155641820 171206002 311283640 342412004 428015005 684824008 856030010 1712060020 3424120040