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3422245400 = 235274159621
BaseRepresentation
bin1100101111111011…
…0101001000011000
322211111120002010122
43023332311020120
524002043323100
61323330332412
7150543414560
oct31376651030
98744502118
103422245400
1114a684a692
127b612a108
134270142a2
1424671bda0
1515069d985
hexcbfb5218

3422245400 has 96 divisors (see below), whose sum is σ = 9315341280. Its totient is φ = 1144704000.

The previous prime is 3422245303. The next prime is 3422245471. The reversal of 3422245400 is 45422243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3422245400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27590 + ... + 87210.

It is an arithmetic number, because the mean of its divisors is an integer number (97034805).

Almost surely, 23422245400 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 3422245400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657670640).

3422245400 is an abundant number, since it is smaller than the sum of its proper divisors (5893095880).

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

3422245400 is a wasteful number, since it uses less digits than its factorization.

3422245400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59685 (or 59676 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 3422245400 is about 58499.9606837475. The cubic root of 3422245400 is about 1506.9669098655.

Adding to 3422245400 its reverse (45422243), we get a palindrome (3467667643).

The spelling of 3422245400 in words is "three billion, four hundred twenty-two million, two hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 57400 59621 119242 238484 298105 417347 476968 596210 834694 1192420 1490525 1669388 2086735 2384840 2444461 2981050 3338776 4173470 4888922 5962100 8346940 9777844 10433675 11924200 12222305 16693880 17111227 19555688 20867350 24444610 34222454 41734700 48889220 61111525 68444908 83469400 85556135 97778440 122223050 136889816 171112270 244446100 342224540 427780675 488892200 684449080 855561350 1711122700 3422245400