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3300142344 = 2335922710267
BaseRepresentation
bin1100010010110100…
…0010110100001000
322111222210121020020
43010231002310020
523224314023334
61303245300440
7144531514152
oct30455026410
98458717206
103300142344
111443931874
12781264720
13407932065
14234415ad2
15144acee49
hexc4b42d08

3300142344 has 64 divisors (see below), whose sum is σ = 8427974400. Its totient is φ = 1076533824.

The previous prime is 3300142229. The next prime is 3300142381. The reversal of 3300142344 is 4432410033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316299 + ... + 326565.

It is an arithmetic number, because the mean of its divisors is an integer number (131687100).

Almost surely, 23300142344 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 3300142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213987200).

3300142344 is an abundant number, since it is smaller than the sum of its proper divisors (5127832056).

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

3300142344 is a wasteful number, since it uses less digits than its factorization.

3300142344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10562 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3300142344 is about 57446.8653975132. The cubic root of 3300142344 is about 1488.8269589630.

Adding to 3300142344 its reverse (4432410033), we get a palindrome (7732552377).

The spelling of 3300142344 in words is "three billion, three hundred million, one hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 227 236 354 454 472 681 708 908 1362 1416 1816 2724 5448 10267 13393 20534 26786 30801 40179 41068 53572 61602 80358 82136 107144 123204 160716 246408 321432 605753 1211506 1817259 2330609 2423012 3634518 4661218 4846024 6991827 7269036 9322436 13983654 14538072 18644872 27967308 55934616 137505931 275011862 412517793 550023724 825035586 1100047448 1650071172 3300142344