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2184064240 = 24529941407
BaseRepresentation
bin1000001000101110…
…0010110011110000
312122012200221220011
42002023202303300
513433110023430
61000420024304
7105060145141
oct20213426360
95565627804
102184064240
11a20935876
1250b532094
1328a642107
1416a0cdac8
15cbb2022a
hex822e2cf0

2184064240 has 40 divisors (see below), whose sum is σ = 5253056640. Its totient is φ = 843499776.

The previous prime is 2184064217. The next prime is 2184064261. The reversal of 2184064240 is 424604812.

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

It is a super-3 number, since 3×21840642403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468384 + ... + 473023.

It is an arithmetic number, because the mean of its divisors is an integer number (131326416).

Almost surely, 22184064240 is an apocalyptic number.

2184064240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2184064240 is an abundant number, since it is smaller than the sum of its proper divisors (3068992400).

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

2184064240 is a wasteful number, since it uses less digits than its factorization.

2184064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941449 (or 941443 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 2184064240 is about 46733.9730816887. The cubic root of 2184064240 is about 1297.4435440604.

The spelling of 2184064240 in words is "two billion, one hundred eighty-four million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 941407 1882814 3765628 4707035 7531256 9414070 15062512 18828140 27300803 37656280 54601606 75312560 109203212 136504015 218406424 273008030 436812848 546016060 1092032120 2184064240