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2348686431 = 327138633323
BaseRepresentation
bin1000101111111110…
…0001110001011111
320001200110122002100
42023333201301133
514302230431211
61025020300143
7112126335210
oct21377416137
96050418070
102348686431
11aa5854973
125566a1653
132b57906b0
14183d03407
15db2dc156
hex8bfe1c5f

2348686431 has 48 divisors (see below), whose sum is σ = 4181538816. Its totient is φ = 1237059648.

The previous prime is 2348686429. The next prime is 2348686433. The reversal of 2348686431 is 1346868432.

It is an interprime number because it is at equal distance from previous prime (2348686429) and next prime (2348686433).

It is not a de Polignac number, because 2348686431 - 21 = 2348686429 is a prime.

It is a super-2 number, since 2×23486864312 = 11032655902327035522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348686433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 705136 + ... + 708458.

It is an arithmetic number, because the mean of its divisors is an integer number (87115392).

Almost surely, 22348686431 is an apocalyptic number.

2348686431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2348686431 is a deficient number, since it is larger than the sum of its proper divisors (1832852385).

2348686431 is a wasteful number, since it uses less digits than its factorization.

2348686431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4209 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2348686431 is about 48463.2482506074. The cubic root of 2348686431 is about 1329.2551336344.

The spelling of 2348686431 in words is "two billion, three hundred forty-eight million, six hundred eighty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 863 2589 3323 6041 7767 9969 11219 18123 23261 29907 33657 43199 54369 69783 78533 100971 129597 209349 235599 302393 388791 706797 907179 2721537 2867749 8603247 20074243 25809741 37280737 60222729 111842211 180668187 260965159 335526633 782895477 2348686431