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3442420100 = 2252717443653
BaseRepresentation
bin1100110100101111…
…0010100110000100
322212220112001121202
43031023302212010
524022224420400
61325331002032
7151210042130
oct31513624604
98786461552
103442420100
11150717a199
12800a39318
1342b259092
142492903c0
151523364d5
hexcd2f2984

3442420100 has 144 divisors (see below), whose sum is σ = 9073669248. Its totient is φ = 1106626560.

The previous prime is 3442420087. The next prime is 3442420123. The reversal of 3442420100 is 10242443.

It is a super-2 number, since 2×34424201002 = 23700512289768020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5271374 + ... + 5272026.

It is an arithmetic number, because the mean of its divisors is an integer number (63011592).

Almost surely, 23442420100 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 3442420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536834624).

3442420100 is an abundant number, since it is smaller than the sum of its proper divisors (5631249148).

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

3442420100 is a wasteful number, since it uses less digits than its factorization.

3442420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3442420100 is about 58672.1407483995. The cubic root of 3442420100 is about 1509.9223824554.

Adding to 3442420100 its reverse (10242443), we get a palindrome (3452662543).

The spelling of 3442420100 in words is "three billion, four hundred forty-two million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 443 476 595 653 700 850 886 1190 1306 1700 1772 2215 2380 2612 2975 3101 3265 4430 4571 5950 6202 6530 7531 8860 9142 11075 11101 11900 12404 13060 15062 15505 16325 18284 22150 22202 22855 30124 31010 32650 37655 44300 44404 45710 52717 55505 62020 65300 75310 77525 77707 91420 105434 111010 114275 150620 155050 155414 188275 210868 222020 228550 263585 277525 289279 310100 310828 376550 388535 457100 527170 555050 578558 753100 777070 1054340 1110100 1157116 1317925 1446395 1554140 1942675 2024953 2635850 2892790 3885350 4049906 4917743 5271700 5785580 7231975 7770700 8099812 9835486 10124765 14463950 19670972 20249530 24588715 28927900 34424201 40499060 49177430 50623825 68848402 98354860 101247650 122943575 137696804 172121005 202495300 245887150 344242010 491774300 688484020 860605025 1721210050 3442420100