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3402000240 = 243514175001
BaseRepresentation
bin1100101011000110…
…0110011101110000
322210002110111222220
43022301212131300
523431403001430
61321324401040
7150206345022
oct31261463560
98702414886
103402000240
111496382151
127ab3a6180
13422a763c2
14243b6c012
1514da00110
hexcac66770

3402000240 has 40 divisors (see below), whose sum is σ = 10546201488. Its totient is φ = 907200000.

The previous prime is 3402000227. The next prime is 3402000257. The reversal of 3402000240 is 420002043.

It is a happy number.

3402000240 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 tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7087261 + ... + 7087740.

Almost surely, 23402000240 is an apocalyptic number.

3402000240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402000240 is an abundant number, since it is smaller than the sum of its proper divisors (7144201248).

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

3402000240 is a wasteful number, since it uses less digits than its factorization.

3402000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175017 (or 14175011 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3402000240 is about 58326.6683430487. The cubic root of 3402000240 is about 1503.9894158566.

Adding to 3402000240 its reverse (420002043), we get a palindrome (3822002283).

The spelling of 3402000240 in words is "three billion, four hundred two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 14175001 28350002 42525003 56700004 70875005 85050006 113400008 141750010 170100012 212625015 226800016 283500020 340200024 425250030 567000040 680400048 850500060 1134000080 1701000120 3402000240