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4314333016 = 2372925710337
BaseRepresentation
bin1000000010010011…
…10111111101011000
3102010200011211021201
410001021313331120
532313432124031
61552035043544
7211625140240
oct40111677530
912120154251
104314333016
111914368284
12a04a405b4
13539a9a396
142ccdb8b20
151a3b65d61
hex101277f58

4314333016 has 64 divisors (see below), whose sum is σ = 9601934400. Its totient is φ = 1778122752.

The previous prime is 4314332969. The next prime is 4314333017. The reversal of 4314333016 is 6103334134.

It is a super-2 number, since 2×43143330162 = 37226938745895312512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314333017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412200 + ... + 422536.

It is an arithmetic number, because the mean of its divisors is an integer number (150030225).

Almost surely, 24314333016 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 4314333016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800967200).

4314333016 is an abundant number, since it is smaller than the sum of its proper divisors (5287601384).

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

4314333016 is a wasteful number, since it uses less digits than its factorization.

4314333016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 4314333016 is about 65683.5825454124. The cubic root of 4314333016 is about 1627.9381027162.

The spelling of 4314333016 in words is "four billion, three hundred fourteen million, three hundred thirty-three thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 257 406 514 812 1028 1624 1799 2056 3598 7196 7453 10337 14392 14906 20674 29812 41348 52171 59624 72359 82696 104342 144718 208684 289436 299773 417368 578872 599546 1199092 2098411 2398184 2656609 4196822 5313218 8393644 10626436 16787288 18596263 21252872 37192526 74385052 77041661 148770104 154083322 308166644 539291627 616333288 1078583254 2157166508 4314333016