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3422020300 = 2252299071301
BaseRepresentation
bin1100101111110111…
…1110001011001100
322211111010122100121
43023331332023030
524002014122200
61323321434324
7150541456366
oct31375761314
98744118317
103422020300
1114a6706556
127b603b9a4
13426c659aa
1424669dd36
15150656e1a
hexcbf7e2cc

3422020300 has 72 divisors (see below), whose sum is σ = 7696226160. Its totient is φ = 1319136000.

The previous prime is 3422020249. The next prime is 3422020307. The reversal of 3422020300 is 30202243.

It is a super-2 number, since 2×34220203002 = 23420445867224180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3422020307) 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, 2629650 + ... + 2630950.

It is an arithmetic number, because the mean of its divisors is an integer number (106892030).

Almost surely, 23422020300 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 3422020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848113080).

3422020300 is an abundant number, since it is smaller than the sum of its proper divisors (4274205860).

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

3422020300 is a wasteful number, since it uses less digits than its factorization.

3422020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3422020300 is about 58498.0367191926. The cubic root of 3422020300 is about 1506.9338686261.

Adding to 3422020300 its reverse (30202243), we get a palindrome (3452222543).

The spelling of 3422020300 in words is "three billion, four hundred twenty-two million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 907 1301 1450 1814 2602 2900 3628 4535 5204 6505 9070 13010 18140 22675 26020 26303 32525 37729 45350 52606 65050 75458 90700 105212 130100 131515 150916 188645 263030 377290 526060 657575 754580 943225 1180007 1315150 1886450 2360014 2630300 3772900 4720028 5900035 11800070 23600140 29500175 34220203 59000350 68440406 118000700 136880812 171101015 342202030 684404060 855505075 1711010150 3422020300