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3320424100 = 2252716329101
BaseRepresentation
bin1100010111101001…
…1010011010100100
322120101222000120101
43011322122122210
523300012032400
61305252113444
7145166065510
oct30572323244
98511860511
103320424100
111454324854
12788005884
1340bbb37b6
14236db5140
1514678956a
hexc5e9a6a4

3320424100 has 72 divisors (see below), whose sum is σ = 8285455808. Its totient is φ = 1131408000.

The previous prime is 3320424091. The next prime is 3320424101. The reversal of 3320424100 is 14240233.

3320424100 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 2×33204241002 = 22050432407721620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320424101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99550 + ... + 128650.

Almost surely, 23320424100 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 3320424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142727904).

3320424100 is an abundant number, since it is smaller than the sum of its proper divisors (4965031708).

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

3320424100 is a wasteful number, since it uses less digits than its factorization.

3320424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29285 (or 29278 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3320424100 is about 57623.1212275073. The cubic root of 3320424100 is about 1491.8707041030.

Adding to 3320424100 its reverse (14240233), we get a palindrome (3334664333).

The spelling of 3320424100 in words is "three billion, three hundred twenty million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 4075 4564 5705 8150 11410 16300 22820 28525 29101 57050 58202 114100 116404 145505 203707 291010 407414 582020 727525 814828 1018535 1455050 2037070 2910100 4074140 4743463 5092675 9486926 10185350 18973852 20370700 23717315 33204241 47434630 66408482 94869260 118586575 132816964 166021205 237173150 332042410 474346300 664084820 830106025 1660212050 3320424100