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2344119912 = 23361133557
BaseRepresentation
bin1000101110111000…
…0110111001101000
320001100212122000000
42023232012321220
514300043314122
61024334343000
7112042455561
oct21356067150
96040778000
102344119912
11aa3215a92
1255505aa60
132b4852004
14183475168
15dabd90ac
hex8bb86e68

2344119912 has 112 divisors (see below), whose sum is σ = 6650008740. Its totient is φ = 774240768.

The previous prime is 2344119809. The next prime is 2344119929. The reversal of 2344119912 is 2199114432.

2344119912 is a `hidden beast` number, since 23 + 441 + 199 + 1 + 2 = 666.

2344119912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1724408676 + 619711236 = 41526^2 + 24894^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 657238 + ... + 660794.

Almost surely, 22344119912 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 2344119912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325004370).

2344119912 is an abundant number, since it is smaller than the sum of its proper divisors (4305888828).

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

2344119912 is a wasteful number, since it uses less digits than its factorization.

2344119912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3675 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2344119912 is about 48416.1121115688. The cubic root of 2344119912 is about 1328.3930904966.

The spelling of 2344119912 in words is "two billion, three hundred forty-four million, one hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 243 324 339 452 486 648 678 729 904 972 1017 1356 1458 1944 2034 2712 2916 3051 3557 4068 5832 6102 7114 8136 9153 10671 12204 14228 18306 21342 24408 27459 28456 32013 36612 42684 54918 64026 73224 82377 85368 96039 109836 128052 164754 192078 219672 256104 288117 329508 384156 401941 576234 659016 768312 803882 864351 1152468 1205823 1607764 1728702 2304936 2411646 2593053 3215528 3457404 3617469 4823292 5186106 6914808 7234938 9646584 10372212 10852407 14469876 20744424 21704814 28939752 32557221 43409628 65114442 86819256 97671663 130228884 195343326 260457768 293014989 390686652 586029978 781373304 1172059956 2344119912