Search a number
-
+
3442462016 = 26713158657
BaseRepresentation
bin1100110100101111…
…1100110101000000
322212220121012010012
43031023330311000
524022232241031
61325331524052
7151210305260
oct31513746500
98786535105
103442462016
1115071a8734
12800a59628
1342b272196
142492a17a0
15152343b2b
hexcd2fcd40

3442462016 has 56 divisors (see below), whose sum is σ = 7866741696. Its totient is φ = 1464053760.

The previous prime is 3442462007. The next prime is 3442462021. The reversal of 3442462016 is 6102642443.

3442462016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29360 + ... + 88016.

Almost surely, 23442462016 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 3442462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933370848).

3442462016 is an abundant number, since it is smaller than the sum of its proper divisors (4424279680).

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

3442462016 is a wasteful number, since it uses less digits than its factorization.

3442462016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58807 (or 58797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 3442462016 is about 58672.4979526183. The cubic root of 3442462016 is about 1509.9285108619.

The spelling of 3442462016 in words is "three billion, four hundred forty-two million, four hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 917 1048 1834 2096 3668 4192 7336 8384 14672 29344 58657 58688 117314 234628 410599 469256 821198 938512 1642396 1877024 3284792 3754048 6569584 7684067 13139168 15368134 26278336 30736268 53788469 61472536 107576938 122945072 215153876 245890144 430307752 491780288 860615504 1721231008 3442462016