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3723392016 = 243343227883
BaseRepresentation
bin1101110111101110…
…0111010000010000
3100121111012220122000
43131323213100100
530111142021031
61413245114000
7161161211211
oct33573472020
910544186560
103723392016
111640837593
1287ab58900
13474523c56
1427470d408
1516bd373e6
hexddee7410

3723392016 has 160 divisors (see below), whose sum is σ = 10996677120. Its totient is φ = 1205559936.

The previous prime is 3723391979. The next prime is 3723392033. The reversal of 3723392016 is 6102933273.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4216311 + ... + 4217193.

It is an arithmetic number, because the mean of its divisors is an integer number (68729232).

Almost surely, 23723392016 is an apocalyptic number.

3723392016 is a gapful number since it is divisible by the number (36) 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 3723392016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5498338560).

3723392016 is an abundant number, since it is smaller than the sum of its proper divisors (7273285104).

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

3723392016 is a wasteful number, since it uses less digits than its factorization.

3723392016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3723392016 is about 61019.6035385351. The cubic root of 3723392016 is about 1549.9329857950.

The spelling of 3723392016 in words is "three billion, seven hundred twenty-three million, three hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 227 258 344 387 432 454 516 681 688 774 883 908 1032 1161 1362 1548 1766 1816 2043 2064 2322 2649 2724 3096 3532 3632 4086 4644 5298 5448 6129 6192 7064 7947 8172 9288 9761 10596 10896 12258 14128 15894 16344 18576 19522 21192 23841 24516 29283 31788 32688 37969 39044 42384 47682 49032 58566 63576 75938 78088 87849 95364 98064 113907 117132 127152 151876 156176 175698 190728 200441 227814 234264 263547 303752 341721 351396 381456 400882 455628 468528 527094 601323 607504 683442 702792 801764 911256 1025163 1054188 1202646 1366884 1405584 1603528 1803969 1822512 2050326 2108376 2405292 2733768 3207056 3607938 4100652 4216752 4810584 5411907 5467536 7215876 8201304 8618963 9621168 10823814 14431752 16402608 17237926 21647628 25856889 28863504 34475852 43295256 51713778 68951704 77570667 86590512 103427556 137903408 155141334 206855112 232712001 310282668 413710224 465424002 620565336 930848004 1241130672 1861696008 3723392016