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2134340104 = 231353596563
BaseRepresentation
bin111111100110111…
…0111001000001000
312111202010201012111
41333031313020020
513332342340404
6551442152104
7103614406621
oct17715671010
95452121174
102134340104
119a5863346
124b6952634
13280252450
14163668a48
15c759c104
hex7f377208

2134340104 has 64 divisors (see below), whose sum is σ = 4466145600. Its totient is φ = 949967616.

The previous prime is 2134340099. The next prime is 2134340113. The reversal of 2134340104 is 4010434312.

It is an unprimeable number.

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, 321927 + ... + 328489.

It is an arithmetic number, because the mean of its divisors is an integer number (69783525).

Almost surely, 22134340104 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 2134340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233072800).

2134340104 is an abundant number, since it is smaller than the sum of its proper divisors (2331805496).

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

2134340104 is a wasteful number, since it uses less digits than its factorization.

2134340104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2134340104 is about 46198.9188618089. The cubic root of 2134340104 is about 1287.5216531250.

Adding to 2134340104 its reverse (4010434312), we get a palindrome (6144774416).

The spelling of 2134340104 in words is "two billion, one hundred thirty-four million, three hundred forty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 53 59 104 106 118 212 236 424 472 689 767 1378 1534 2756 3068 3127 5512 6136 6254 6563 12508 13126 25016 26252 40651 52504 81302 85319 162604 170638 325208 341276 347839 387217 682552 695678 774434 1391356 1548868 2782712 3097736 4521907 5033821 9043814 10067642 18087628 20135284 20522501 36175256 40270568 41045002 82090004 164180008 266792513 533585026 1067170052 2134340104