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3504469668 = 22371913915797
BaseRepresentation
bin1101000011100001…
…1111011010100100
3100001020021111121220
43100320133122210
524134121012133
61335424540340
7152562333510
oct32070373244
910036244556
103504469668
1115391aaa27
128197816b0
1343b072bbb
14253603140
151579e15b3
hexd0e1f6a4

3504469668 has 96 divisors (see below), whose sum is σ = 9908505600. Its totient is φ = 941694336.

The previous prime is 3504469651. The next prime is 3504469673. The reversal of 3504469668 is 8669644053.

It is a happy number.

3504469668 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3504469668.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213946 + ... + 229742.

It is an arithmetic number, because the mean of its divisors is an integer number (103213600).

Almost surely, 23504469668 is an apocalyptic number.

3504469668 is a gapful number since it is divisible by the number (38) 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 3504469668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954252800).

3504469668 is an abundant number, since it is smaller than the sum of its proper divisors (6404035932).

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

3504469668 is a wasteful number, since it uses less digits than its factorization.

3504469668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15969 (or 15967 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 3504469668 is about 59198.5613676549. The cubic root of 3504469668 is about 1518.9405226548.

The spelling of 3504469668 in words is "three billion, five hundred four million, four hundred sixty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 139 228 266 278 399 417 532 556 798 834 973 1596 1668 1946 2641 2919 3892 5282 5838 7923 10564 11676 15797 15846 18487 31594 31692 36974 47391 55461 63188 73948 94782 110579 110922 189564 221158 221844 300143 331737 442316 600286 663474 900429 1200572 1326948 1800858 2101001 2195783 3601716 4202002 4391566 6303003 6587349 8404004 8783132 12606006 13174698 15370481 25212012 26349396 30740962 41719877 46111443 61481924 83439754 92222886 125159631 166879508 184445772 250319262 292039139 500638524 584078278 876117417 1168156556 1752234834 3504469668