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2004339402 = 2321325733329
BaseRepresentation
bin111011101110111…
…1100101011001010
312011200111222202200
41313131330223022
513101102330102
6530515541030
7100445414052
oct16735745312
95150458680
102004339402
1193944094a
1247b2ba776
1325c336560
141502a8562
15bae6d51c
hex7777caca

2004339402 has 48 divisors (see below), whose sum is σ = 4695130440. Its totient is φ = 614301696.

The previous prime is 2004339377. The next prime is 2004339409. The reversal of 2004339402 is 2049334002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1957266081 + 47073321 = 44241^2 + 6861^2 .

It is not an unprimeable number, because it can be changed into a prime (2004339409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43474 + ... + 76802.

Almost surely, 22004339402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004339402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347565220).

2004339402 is an abundant number, since it is smaller than the sum of its proper divisors (2690791038).

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

2004339402 is a wasteful number, since it uses less digits than its factorization.

2004339402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33607 (or 33604 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2004339402 is about 44769.8492514773. The cubic root of 2004339402 is about 1260.8316089857.

The spelling of 2004339402 in words is "two billion, four million, three hundred thirty-nine thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 257 514 771 1542 2313 3341 4626 6682 10023 20046 30069 33329 60138 66658 99987 199974 299961 433277 599922 866554 1299831 2599662 3899493 7798986 8565553 17131106 25696659 51393318 77089977 111352189 154179954 222704378 334056567 668113134 1002169701 2004339402