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3442211004 = 2232347443599
BaseRepresentation
bin1100110100101011…
…1111100010111100
322212220010102210110
43031022333202330
524022201223004
61325322310020
7151205211411
oct31512774274
98786112713
103442211004
111507047091
12800958310
1342b1b4b5b
14249238108
151522e4589
hexcd2bf8bc

3442211004 has 96 divisors (see below), whose sum is σ = 8592998400. Its totient is φ = 1069951168.

The previous prime is 3442210939. The next prime is 3442211021. The reversal of 3442211004 is 4001122443.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5746297 + ... + 5746895.

It is an arithmetic number, because the mean of its divisors is an integer number (89510400).

Almost surely, 23442211004 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 3442211004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296499200).

3442211004 is an abundant number, since it is smaller than the sum of its proper divisors (5150787396).

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

3442211004 is a wasteful number, since it uses less digits than its factorization.

3442211004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3442211004 is about 58670.3588194243. The cubic root of 3442211004 is about 1509.8918104437.

Adding to 3442211004 its reverse (4001122443), we get a palindrome (7443333447).

The spelling of 3442211004 in words is "three billion, four hundred forty-two million, two hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 443 564 599 886 1081 1198 1329 1772 1797 2162 2396 2658 3243 3594 4324 5316 6486 7188 10189 12972 13777 20378 20821 27554 28153 30567 40756 41331 41642 55108 56306 61134 62463 82662 83284 84459 112612 122268 124926 165324 168918 249852 265357 337836 478883 530714 647519 796071 957766 1061428 1295038 1436649 1592142 1915532 1942557 2590076 2873298 3184284 3885114 5746596 6103211 7770228 12206422 12471779 18309633 24412844 24943558 36619266 37415337 49887116 73238532 74830674 149661348 286850917 573701834 860552751 1147403668 1721105502 3442211004