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3442341100 = 2252112476053
BaseRepresentation
bin1100110100101101…
…1111010011101100
322212220101001020211
43031023133103230
524022214403400
61325325152204
7151206262612
oct31513372354
98786331224
103442341100
111507125900
128009bb664
1342b22c133
1424926d6b2
1515231cdba
hexcd2df4ec

3442341100 has 108 divisors (see below), whose sum is σ = 8386775712. Its totient is φ = 1224924800.

The previous prime is 3442341037. The next prime is 3442341121. The reversal of 3442341100 is 11432443.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565674 + ... + 571726.

Almost surely, 23442341100 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 3442341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193387856).

3442341100 is an abundant number, since it is smaller than the sum of its proper divisors (4944434612).

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

3442341100 is a wasteful number, since it uses less digits than its factorization.

3442341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3442341100 is about 58671.4675119005. The cubic root of 3442341100 is about 1509.9108319786.

Adding to 3442341100 its reverse (11432443), we get a palindrome (3453773543).

The spelling of 3442341100 in words is "three billion, four hundred forty-two million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 121 188 220 235 242 275 470 484 517 550 605 940 1034 1100 1175 1210 2068 2350 2420 2585 3025 4700 5170 5687 6050 6053 10340 11374 12100 12106 12925 22748 24212 25850 28435 30265 51700 56870 60530 66583 113740 121060 133166 142175 151325 266332 284350 284491 302650 332915 568700 568982 605300 665830 732413 1137964 1331660 1422455 1464826 1664575 2844910 2929652 3129401 3329150 3662065 5689820 6258802 6658300 7112275 7324130 12517604 14224550 14648260 15647005 18310325 28449100 31294010 34423411 36620650 62588020 68846822 73241300 78235025 137693644 156470050 172117055 312940100 344234110 688468220 860585275 1721170550 3442341100