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1349232384 = 2834737379
BaseRepresentation
bin101000001101011…
…1010011100000000
310111000211002212210
41100122322130000
510230400414014
6341514422120
745302200053
oct12032723400
93430732783
101349232384
11632674295
12317a31940
131866b4b76
14cb298a9a
157d6b7859
hex506ba700

1349232384 has 72 divisors (see below), whose sum is σ = 3667426560. Its totient is φ = 440163328.

The previous prime is 1349232373. The next prime is 1349232403. The reversal of 1349232384 is 4832329431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17407 + ... + 54785.

It is an arithmetic number, because the mean of its divisors is an integer number (50936480).

Almost surely, 21349232384 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 1349232384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833713280).

1349232384 is an abundant number, since it is smaller than the sum of its proper divisors (2318194176).

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

1349232384 is an equidigital number, since it uses as much as digits as its factorization.

1349232384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37445 (or 37431 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 1349232384 is about 36731.8987257670. The cubic root of 1349232384 is about 1104.9999342083. Note that the first 4 decimals are identical.

The spelling of 1349232384 in words is "one billion, three hundred forty-nine million, two hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 564 752 768 1128 1504 2256 3008 4512 6016 9024 12032 18048 36096 37379 74758 112137 149516 224274 299032 448548 598064 897096 1196128 1756813 1794192 2392256 3513626 3588384 4784512 5270439 7027252 7176768 9569024 10540878 14054504 14353536 21081756 28109008 28707072 42163512 56218016 84327024 112436032 168654048 224872064 337308096 449744128 674616192 1349232384