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3421414048 = 251383197503
BaseRepresentation
bin1100101111101110…
…1010001010100000
322211102222211201211
43023323222022200
524001340222143
61323300435504
7150533353033
oct31373521240
98742884654
103421414048
1114a6332018
127b59a8b94
13426ab2a70
1424658301a
1515058749d
hexcbeea2a0

3421414048 has 96 divisors (see below), whose sum is σ = 7393389696. Its totient is φ = 1549083648.

The previous prime is 3421414039. The next prime is 3421414057. The reversal of 3421414048 is 8404141243.

3421414048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3421414039) and next prime (3421414057).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6801765 + ... + 6802267.

It is an arithmetic number, because the mean of its divisors is an integer number (77014476).

Almost surely, 23421414048 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 3421414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696694848).

3421414048 is an abundant number, since it is smaller than the sum of its proper divisors (3971975648).

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

3421414048 is a wasteful number, since it uses less digits than its factorization.

3421414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 3421414048 is about 58492.8546747378. The cubic root of 3421414048 is about 1506.8448728919.

The spelling of 3421414048 in words is "three billion, four hundred twenty-one million, four hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 197 208 332 394 416 503 664 788 1006 1079 1328 1576 2012 2158 2561 2656 3152 4024 4316 5122 6304 6539 8048 8632 10244 13078 16096 16351 17264 20488 26156 32702 34528 40976 41749 52312 65404 81952 83498 99091 104624 130808 166996 198182 209248 212563 261616 333992 396364 425126 523232 542737 667984 792728 850252 1085474 1288183 1335968 1585456 1700504 2170948 2576366 3170912 3401008 4341896 5152732 6802016 8224553 8683792 10305464 16449106 17367584 20610928 32898212 41221856 65796424 106919189 131592848 213838378 263185696 427676756 855353512 1710707024 3421414048