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2142340008 = 233616721841
BaseRepresentation
bin111111110110001…
…1000001110101000
312112022012011000020
41333230120032220
513341414340013
6552325440440
7104042406144
oct17754301650
95468164006
102142340008
119aa327836
124b9570120
13281ac3813
1416474c224
15c812c623
hex7fb183a8

2142340008 has 64 divisors (see below), whose sum is σ = 5525152320. Its totient is φ = 691891200.

The previous prime is 2142340001. The next prime is 2142340019. The reversal of 2142340008 is 8000432412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2142340008.

It is not an unprimeable number, because it can be changed into a prime (2142340001) by changing a digit.

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, 87168 + ... + 109008.

It is an arithmetic number, because the mean of its divisors is an integer number (86330505).

Almost surely, 22142340008 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 2142340008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762576160).

2142340008 is an abundant number, since it is smaller than the sum of its proper divisors (3382812312).

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

2142340008 is a wasteful number, since it uses less digits than its factorization.

2142340008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21978 (or 21974 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2142340008 is about 46285.4189567298. The cubic root of 2142340008 is about 1289.1282710987.

The spelling of 2142340008 in words is "two billion, one hundred forty-two million, three hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 61 67 122 134 183 201 244 268 366 402 488 536 732 804 1464 1608 4087 8174 12261 16348 21841 24522 32696 43682 49044 65523 87364 98088 131046 174728 262092 524184 1332301 1463347 2664602 2926694 3996903 4390041 5329204 5853388 7993806 8780082 10658408 11706776 15987612 17560164 31975224 35120328 89264167 178528334 267792501 357056668 535585002 714113336 1071170004 2142340008