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3334132140 = 22351723314029
BaseRepresentation
bin1100011010111010…
…1101000110101100
322121100202110110120
43012232231012230
523312014212030
61310502004540
7145423440603
oct30656550654
98540673416
103334132140
111461037909
12790716750
134119a3071
14238b42a3a
15147a96010
hexc6bad1ac

3334132140 has 96 divisors (see below), whose sum is σ = 9927852480. Its totient is φ = 833150976.

The previous prime is 3334132129. The next prime is 3334132163. The reversal of 3334132140 is 412314333.

It is a super-2 number, since 2×33341321402 = 22232874253961959200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3334132140.

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 31 ways as a sum of consecutive naturals, for example, 230646 + ... + 244674.

It is an arithmetic number, because the mean of its divisors is an integer number (103415130).

Almost surely, 23334132140 is an apocalyptic number.

3334132140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963926240).

3334132140 is an abundant number, since it is smaller than the sum of its proper divisors (6593720340).

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

3334132140 is a wasteful number, since it uses less digits than its factorization.

3334132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14291 (or 14289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3334132140 is about 57741.9443732197. The cubic root of 3334132140 is about 1493.9208985214.

Adding to 3334132140 its reverse (412314333), we get a palindrome (3746446473).

The spelling of 3334132140 in words is "three billion, three hundred thirty-four million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 233 255 340 466 510 699 932 1020 1165 1398 2330 2796 3495 3961 4660 6990 7922 11883 13980 14029 15844 19805 23766 28058 39610 42087 47532 56116 59415 70145 79220 84174 118830 140290 168348 210435 237660 238493 280580 420870 476986 715479 841740 953972 1192465 1430958 2384930 2861916 3268757 3577395 4769860 6537514 7154790 9806271 13075028 14309580 16343785 19612542 32687570 39225084 49031355 55568869 65375140 98062710 111137738 166706607 196125420 222275476 277844345 333413214 555688690 666826428 833533035 1111377380 1667066070 3334132140