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2344104644 = 227416133331
BaseRepresentation
bin1000101110111000…
…0011001011000100
320001100211212001112
42023232003023010
514300042322034
61024334144152
7112042363220
oct21356031304
96040755045
102344104644
11aa3205572
12555052058
132b484808b
1418346d780
15dabd47ce
hex8bb832c4

2344104644 has 48 divisors (see below), whose sum is σ = 4811834496. Its totient is φ = 978220800.

The previous prime is 2344104629. The next prime is 2344104667. The reversal of 2344104644 is 4464014432.

It is a happy number.

It is a super-3 number, since 3×23441046443 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2344104644.

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, 702059 + ... + 705389.

It is an arithmetic number, because the mean of its divisors is an integer number (100246552).

Almost surely, 22344104644 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 2344104644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405917248).

2344104644 is an abundant number, since it is smaller than the sum of its proper divisors (2467729852).

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

2344104644 is a wasteful number, since it uses less digits than its factorization.

2344104644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2344104644 is about 48415.9544365285. The cubic root of 2344104644 is about 1328.3902064078.

The spelling of 2344104644 in words is "two billion, three hundred forty-four million, one hundred four thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 613 1148 1226 2452 3331 4291 6662 8582 13324 17164 23317 25133 46634 50266 93268 100532 136571 175931 273142 351862 546284 703724 955997 1911994 2041903 3823988 4083806 8167612 14293321 28586642 57173284 83718023 167436046 334872092 586026161 1172052322 2344104644