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3234050120 = 235737487641
BaseRepresentation
bin1100000011000011…
…1011000001001000
322100101102202202002
43000300323001020
523110404100440
61252524530132
7143066654360
oct30060730110
98311382662
103234050120
11140a59a7a4
127630b0948
133c7031132
1422972d9a0
1513ddc7115
hexc0c3b048

3234050120 has 128 divisors (see below), whose sum is σ = 8571778560. Its totient is φ = 1074954240.

The previous prime is 3234050087. The next prime is 3234050123. The reversal of 3234050120 is 210504323.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 3234050092 and 3234050101.

It is not an unprimeable number, because it can be changed into a prime (3234050123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5045000 + ... + 5045640.

It is an arithmetic number, because the mean of its divisors is an integer number (66967020).

Almost surely, 23234050120 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 3234050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285889280).

3234050120 is an abundant number, since it is smaller than the sum of its proper divisors (5337728440).

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

3234050120 is a wasteful number, since it uses less digits than its factorization.

3234050120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3234050120 is about 56868.7094982821. The cubic root of 3234050120 is about 1478.8209077324.

Adding to 3234050120 its reverse (210504323), we get a palindrome (3444554443).

The spelling of 3234050120 in words is "three billion, two hundred thirty-four million, fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 487 518 641 740 974 1036 1282 1295 1480 1948 2072 2435 2564 2590 3205 3409 3896 4487 4870 5128 5180 6410 6818 8974 9740 10360 12820 13636 17045 17948 18019 19480 22435 23717 25640 27272 34090 35896 36038 44870 47434 68180 72076 89740 90095 94868 118585 126133 136360 144152 166019 179480 180190 189736 237170 252266 312167 332038 360380 474340 504532 624334 630665 664076 720760 830095 948680 1009064 1248668 1261330 1328152 1560835 1660190 2185169 2497336 2522660 3121670 3320380 4370338 5045320 6243340 6640760 8740676 10925845 11550179 12486680 17481352 21851690 23100358 43703380 46200716 57750895 80851253 87406760 92401432 115501790 161702506 231003580 323405012 404256265 462007160 646810024 808512530 1617025060 3234050120