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2353414144 = 2143792
BaseRepresentation
bin1000110001000110…
…0100000000000000
320002000100211021211
42030101210000000
514304433223034
61025305455504
7112214455504
oct21421440000
96060324254
102353414144
11aa8493974
125581a1594
132b6757563
141847b4304
15db922d64
hex8c464000

2353414144 has 45 divisors (see below), whose sum is σ = 4719136107. Its totient is φ = 1173602304.

The previous prime is 2353414139. The next prime is 2353414153. The reversal of 2353414144 is 4414143532.

The square root of 2353414144 is 48512.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6209347 + ... + 6209725.

Almost surely, 22353414144 is an apocalyptic number.

2353414144 is the 48512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2353414144

2353414144 is an abundant number, since it is smaller than the sum of its proper divisors (2365721963).

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

2353414144 is an frugal number, since it uses more digits than its factorization.

2353414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 381 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The cubic root of 2353414144 is about 1330.1464296916.

Adding to 2353414144 its reverse (4414143532), we get a palindrome (6767557676).

The spelling of 2353414144 in words is "two billion, three hundred fifty-three million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 379 512 758 1024 1516 2048 3032 4096 6064 8192 12128 16384 24256 48512 97024 143641 194048 287282 388096 574564 776192 1149128 1552384 2298256 3104768 4596512 6209536 9193024 18386048 36772096 73544192 147088384 294176768 588353536 1176707072 2353414144