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4344401072 = 2411192101677
BaseRepresentation
bin1000000101111001…
…00100110010110000
3102012202202102220102
410002330210302300
532344131313242
61555031331532
7212441541224
oct40274446260
912182672812
104344401072
11192a334910
12a12b20ba8
1354309732b
142d2da4784
151a6604e32
hex102f24cb0

4344401072 has 120 divisors (see below), whose sum is σ = 9801618192. Its totient is φ = 1849536000.

The previous prime is 4344401071. The next prime is 4344401107. The reversal of 4344401072 is 2701044434.

It is not an unprimeable number, because it can be changed into a prime (4344401071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6416798 + ... + 6417474.

Almost surely, 24344401072 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 4344401072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900809096).

4344401072 is an abundant number, since it is smaller than the sum of its proper divisors (5457217120).

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

4344401072 is a wasteful number, since it uses less digits than its factorization.

4344401072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4344401072 is about 65912.0707609767. The cubic root of 4344401072 is about 1631.7112358343.

The spelling of 4344401072 in words is "four billion, three hundred forty-four million, four hundred one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 101 152 176 202 209 304 361 404 418 677 722 808 836 1111 1354 1444 1616 1672 1919 2222 2708 2888 3344 3838 3971 4444 5416 5776 7447 7676 7942 8888 10832 12863 14894 15352 15884 17776 21109 25726 29788 30704 31768 36461 42218 51452 59576 63536 68377 72922 84436 102904 119152 136754 141493 145844 168872 205808 244397 273508 282986 291688 337744 401071 488794 547016 565972 583376 752147 802142 977588 1094032 1131944 1299163 1504294 1604284 1955176 2263888 2598326 2688367 3008588 3208568 3910352 5196652 5376734 6017176 6417136 10393304 10753468 12034352 14290793 20786608 21506936 24684097 28581586 43013872 49368194 57163172 98736388 114326344 197472776 228652688 271525067 394945552 543050134 1086100268 2172200536 4344401072