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3399013100 = 2252717927127
BaseRepresentation
bin1100101010011000…
…1101001011101100
322202212211202102002
43022212031023230
523430121404400
61321140351432
7150142064120
oct31246151354
98685752362
103399013100
11149472193a
127aa3a5578
1342226b872
142435d1580
1514d60eed5
hexca98d2ec

3399013100 has 72 divisors (see below), whose sum is σ = 8476957440. Its totient is φ = 1158822720.

The previous prime is 3399013043. The next prime is 3399013127. The reversal of 3399013100 is 13109933.

3399013100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33990131002 = 23106580107943220000, which contains 22 as substring.

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, 111737 + ... + 138863.

It is an arithmetic number, because the mean of its divisors is an integer number (117735520).

Almost surely, 23399013100 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 3399013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238478720).

3399013100 is an abundant number, since it is smaller than the sum of its proper divisors (5077944340).

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

3399013100 is a wasteful number, since it uses less digits than its factorization.

3399013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27327 (or 27320 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 29.

The square root of 3399013100 is about 58301.0557365816. The cubic root of 3399013100 is about 1503.5490923026.

The spelling of 3399013100 in words is "three billion, three hundred ninety-nine million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 700 716 895 1253 1790 2506 3580 4475 5012 6265 8950 12530 17900 25060 27127 31325 54254 62650 108508 125300 135635 189889 271270 379778 542540 678175 759556 949445 1356350 1898890 2712700 3797780 4747225 4855733 9494450 9711466 18988900 19422932 24278665 33990131 48557330 67980262 97114660 121393325 135960524 169950655 242786650 339901310 485573300 679802620 849753275 1699506550 3399013100