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3424257100 = 2252114437027
BaseRepresentation
bin1100110000011010…
…0000010001001100
322211122100021200001
43030012200101030
524003102211400
61323441414044
7150566463565
oct31406402114
98748307601
103424257100
1114a79a4050
127b693a324
13427569b44
14246ac316c
15150949a6a
hexcc1a044c

3424257100 has 72 divisors (see below), whose sum is σ = 8125604928. Its totient is φ = 1242196800.

The previous prime is 3424257071. The next prime is 3424257119. The reversal of 3424257100 is 17524243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483787 + ... + 490813.

It is an arithmetic number, because the mean of its divisors is an integer number (112855624).

Almost surely, 23424257100 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 3424257100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062802464).

3424257100 is an abundant number, since it is smaller than the sum of its proper divisors (4701347828).

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

3424257100 is a wasteful number, since it uses less digits than its factorization.

3424257100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7495 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 3424257100 is about 58517.1521863462. The cubic root of 3424257100 is about 1507.2621323639.

The spelling of 3424257100 in words is "three billion, four hundred twenty-four million, two hundred fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 443 550 886 1100 1772 2215 4430 4873 7027 8860 9746 11075 14054 19492 22150 24365 28108 35135 44300 48730 70270 77297 97460 121825 140540 154594 175675 243650 309188 351350 386485 487300 702700 772970 1545940 1932425 3112961 3864850 6225922 7729700 12451844 15564805 31129610 34242571 62259220 68485142 77824025 136970284 155648050 171212855 311296100 342425710 684851420 856064275 1712128550 3424257100