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3013347064 = 2371323110271
BaseRepresentation
bin1011001110011100…
…0000011011111000
321210000010220001211
42303213000123320
522132404101224
61215002252504
7134450012260
oct26347003370
97700126054
103013347064
111306a57282
127011b7134
133903a8700
142082bc7a0
1512982d894
hexb39c06f8

3013347064 has 96 divisors (see below), whose sum is σ = 7218339840. Its totient is φ = 1153526400.

The previous prime is 3013347017. The next prime is 3013347079. The reversal of 3013347064 is 4607433103.

3013347064 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 (31).

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, 288249 + ... + 298519.

It is an arithmetic number, because the mean of its divisors is an integer number (75191040).

Almost surely, 23013347064 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 3013347064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609169920).

3013347064 is an abundant number, since it is smaller than the sum of its proper divisors (4204992776).

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

3013347064 is a wasteful number, since it uses less digits than its factorization.

3013347064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 3013347064 is about 54893.9619994768. The cubic root of 3013347064 is about 1444.3852725390.

The spelling of 3013347064 in words is "three billion, thirteen million, three hundred forty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 169 182 217 248 338 364 403 434 676 728 806 868 1183 1352 1612 1736 2366 2821 3224 4732 5239 5642 9464 10271 10478 11284 20542 20956 22568 36673 41084 41912 71897 73346 82168 133523 143794 146692 267046 287588 293384 318401 534092 575176 636802 934661 1068184 1273604 1735799 1869322 2228807 2547208 3471598 3738644 4139213 4457614 6943196 7477288 8278426 8915228 12150593 13886392 16556852 17830456 24301186 28974491 33113704 48602372 53809769 57948982 97204744 107619538 115897964 215239076 231795928 376668383 430478152 753336766 1506673532 3013347064