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2004234102 = 23213101137619
BaseRepresentation
bin111011101110110…
…0010111101110110
312011200022122022200
41313131202331312
513101040442402
6530513405330
7100444465053
oct16735427566
95150278280
102004234102
11939379822
1247b269846
1325c2ca650
1415027c02a
15bae4c21c
hex77762f76

2004234102 has 96 divisors (see below), whose sum is σ = 4765007520. Its totient is φ = 605145600.

The previous prime is 2004234031. The next prime is 2004234137. The reversal of 2004234102 is 2014324002.

2004234102 is a `hidden beast` number, since 200 + 423 + 41 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237549 + ... + 3238167.

It is an arithmetic number, because the mean of its divisors is an integer number (49635495).

Almost surely, 22004234102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004234102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382503760).

2004234102 is an abundant number, since it is smaller than the sum of its proper divisors (2760773418).

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

2004234102 is a wasteful number, since it uses less digits than its factorization.

2004234102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2004234102 is about 44768.6732213498. The cubic root of 2004234102 is about 1260.8095289106.

Adding to 2004234102 its reverse (2014324002), we get a palindrome (4018558104).

The spelling of 2004234102 in words is "two billion, four million, two hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 137 202 234 274 303 411 606 619 822 909 1233 1238 1313 1781 1818 1857 2466 2626 3562 3714 3939 5343 5571 7878 8047 10686 11142 11817 13837 16029 16094 23634 24141 27674 32058 41511 48282 62519 72423 83022 84803 124533 125038 144846 169606 179881 187557 249066 254409 359762 375114 508818 539643 562671 763227 812747 1079286 1102439 1125342 1526454 1618929 1625494 2204878 2438241 3237858 3307317 4876482 6614634 7314723 8565103 9921951 14629446 17130206 19843902 25695309 51390618 77085927 111346339 154171854 222692678 334039017 668078034 1002117051 2004234102