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1348293696 = 26326326701
BaseRepresentation
bin101000001011101…
…0101010001000000
310110222001102020120
41100113111101000
510230130344241
6341442340240
745261210261
oct12027252100
93428042216
101348293696
11632093012
1231765a680
13186446829
14cb0d2968
157d57e666
hex505d5440

1348293696 has 56 divisors (see below), whose sum is σ = 3581058624. Its totient is φ = 447705600.

The previous prime is 1348293691. The next prime is 1348293701. The reversal of 1348293696 is 6963928431.

It is an interprime number because it is at equal distance from previous prime (1348293691) and next prime (1348293701).

It is not an unprimeable number, because it can be changed into a prime (1348293691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37146 + ... + 63846.

Almost surely, 21348293696 is an apocalyptic number.

1348293696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790529312).

1348293696 is an abundant number, since it is smaller than the sum of its proper divisors (2232764928).

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

1348293696 is a wasteful number, since it uses less digits than its factorization.

1348293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26979 (or 26969 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 1348293696 is about 36719.1189436784. The cubic root of 1348293696 is about 1104.7436178937.

The spelling of 1348293696 in words is "one billion, three hundred forty-eight million, two hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 16832 25248 26701 50496 53402 80103 106804 160206 213608 320412 427216 640824 854432 1281648 1708864 2563296 5126592 7022363 14044726 21067089 28089452 42134178 56178904 84268356 112357808 168536712 224715616 337073424 449431232 674146848 1348293696