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4401351344 = 2413294371239
BaseRepresentation
bin1000001100101011…
…10100101010110000
3102100201220210222202
410012111310222300
533003221220334
62004424122332
7214032604055
oct40625645260
912321823882
104401351344
1119594a2455
12a2a0063a8
13551b17110
142da78b02c
151ab60417e
hex106574ab0

4401351344 has 160 divisors (see below), whose sum is σ = 9899366400. Its totient is φ = 1880847360.

The previous prime is 4401351343. The next prime is 4401351347. The reversal of 4401351344 is 4431531044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (4401351343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18415577 + ... + 18415815.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 24401351344 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 4401351344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

4401351344 is an abundant number, since it is smaller than the sum of its proper divisors (5498015056).

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

4401351344 is a wasteful number, since it uses less digits than its factorization.

4401351344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 4401351344 is about 66342.6811637878. The cubic root of 4401351344 is about 1638.8102793157.

Adding to 4401351344 its reverse (4431531044), we get a palindrome (8832882388).

The spelling of 4401351344 in words is "four billion, four hundred one million, three hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 43 52 58 71 86 104 116 142 172 208 232 239 284 344 377 464 478 559 568 688 754 923 956 1118 1136 1247 1508 1846 1912 2059 2236 2494 3016 3053 3107 3692 3824 4118 4472 4988 6032 6106 6214 6931 7384 8236 8944 9976 10277 12212 12428 13862 14768 16211 16472 16969 19952 20554 24424 24856 26767 27724 32422 32944 33938 39689 41108 48848 49712 53534 55448 64844 67876 79378 82216 88537 90103 107068 110896 129688 133601 135752 158756 164432 177074 180206 214136 220597 259376 267202 271504 298033 317512 354148 360412 428272 441194 492101 534404 596066 635024 708296 720824 729667 882388 984202 1068808 1150981 1192132 1416592 1441648 1459334 1764776 1968404 2137616 2301962 2384264 2918668 3529552 3874429 3936808 4603924 4768528 5837336 6397313 7748858 7873616 9207848 9485671 11674672 12794626 15497716 18415696 18971342 21160343 25589252 30995432 37942684 42320686 51178504 61990864 75885368 84641372 102357008 151770736 169282744 275084459 338565488 550168918 1100337836 2200675672 4401351344