Search a number
-
+
3354540240 = 243513977251
BaseRepresentation
bin1100011111110010…
…0011100011010000
322122210011022010010
43013330203203100
523332230241430
61312511234520
7146062056462
oct30774434320
98583138103
103354540240
111471606807
12797518a40
13415c9a16c
1423b736132
15149777cb0
hexc7f238d0

3354540240 has 40 divisors (see below), whose sum is σ = 10399075488. Its totient is φ = 894544000.

The previous prime is 3354540221. The next prime is 3354540373. The reversal of 3354540240 is 420454533.

3354540240 is digitally balanced in base 2, because in such base 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 super-2 number, since 2×33545402402 = 22505880443558515200, which contains 22 as substring.

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 = 3354540198 and 3354540207.

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, 6988386 + ... + 6988865.

Almost surely, 23354540240 is an apocalyptic number.

3354540240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3354540240 is an abundant number, since it is smaller than the sum of its proper divisors (7044535248).

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

3354540240 is a wasteful number, since it uses less digits than its factorization.

3354540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13977267 (or 13977261 counting only the distinct ones).

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

The square root of 3354540240 is about 57918.3929335060. The cubic root of 3354540240 is about 1496.9627787867.

Adding to 3354540240 its reverse (420454533), we get a palindrome (3774994773).

The spelling of 3354540240 in words is "three billion, three hundred fifty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 13977251 27954502 41931753 55909004 69886255 83863506 111818008 139772510 167727012 209658765 223636016 279545020 335454024 419317530 559090040 670908048 838635060 1118180080 1677270120 3354540240