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3421125750 = 235371934297
BaseRepresentation
bin1100101111101010…
…0011110001110110
322211102110012021010
43023322203301312
524001302011000
61323250333050
7150531042360
oct31372436166
98742405233
103421125750
1114a6155459
127b588a186
13426a11783
14246509d30
1515052bd50
hexcbea3c76

3421125750 has 128 divisors (see below), whose sum is σ = 10272936960. Its totient is φ = 740793600.

The previous prime is 3421125727. The next prime is 3421125751. The reversal of 3421125750 is 575211243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421125751) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 82602 + ... + 116898.

It is an arithmetic number, because the mean of its divisors is an integer number (80257320).

Almost surely, 23421125750 is an apocalyptic number.

3421125750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421125750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136468480).

3421125750 is an abundant number, since it is smaller than the sum of its proper divisors (6851811210).

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

3421125750 is a wasteful number, since it uses less digits than its factorization.

3421125750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34343 (or 34333 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3421125750 is about 58490.3902363457. The cubic root of 3421125750 is about 1506.8025480364.

Adding to 3421125750 its reverse (575211243), we get a palindrome (3996336993).

The spelling of 3421125750 in words is "three billion, four hundred twenty-one million, one hundred twenty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 25 30 35 38 42 50 57 70 75 95 105 114 125 133 150 175 190 210 250 266 285 350 375 399 475 525 570 665 750 798 875 950 1050 1330 1425 1750 1995 2375 2625 2850 3325 3990 4750 5250 6650 7125 9975 14250 16625 19950 33250 34297 49875 68594 99750 102891 171485 205782 240079 342970 480158 514455 651643 720237 857425 1028910 1200395 1303286 1440474 1714850 1954929 2400790 2572275 3258215 3601185 3909858 4287125 4561501 5144550 6001975 6516430 7202370 8574250 9123002 9774645 12003950 12861375 13684503 16291075 18005925 19549290 22807505 25722750 27369006 30009875 32582150 36011850 45615010 48873225 60019750 68422515 81455375 90029625 97746450 114037525 136845030 162910750 180059250 228075050 244366125 342112575 488732250 570187625 684225150 1140375250 1710562875 3421125750