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3421310004 = 2232733141017
BaseRepresentation
bin1100101111101101…
…0000110000110100
322211102210120000100
43023323100300310
524001323410004
61323254314100
7150532440510
oct31373206064
98742716010
103421310004
1114a6270932
127b5958930
13426a775b8
14246557140
15150566739
hexcbed0c34

3421310004 has 72 divisors (see below), whose sum is σ = 9913886528. Its totient is φ = 974540160.

The previous prime is 3421309981. The next prime is 3421310017. The reversal of 3421310004 is 4000131243.

3421310004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 62904 + ... + 103920.

Almost surely, 23421310004 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 3421310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956943264).

3421310004 is an abundant number, since it is smaller than the sum of its proper divisors (6492576524).

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

3421310004 is a wasteful number, since it uses less digits than its factorization.

3421310004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41365 (or 41360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3421310004 is about 58491.9652943889. The cubic root of 3421310004 is about 1506.8295985292.

Adding to 3421310004 its reverse (4000131243), we get a palindrome (7421441247).

The spelling of 3421310004 in words is "three billion, four hundred twenty-one million, three hundred ten thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 331 662 993 1324 1986 2317 2979 3972 4634 5958 6951 9268 11916 13902 20853 27804 41017 41706 82034 83412 123051 164068 246102 287119 369153 492204 574238 738306 861357 1148476 1476612 1722714 2584071 3445428 5168142 10336284 13576627 27153254 40729881 54306508 81459762 95036389 122189643 162919524 190072778 244379286 285109167 380145556 488758572 570218334 855327501 1140436668 1710655002 3421310004