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2348001369 = 327434312011
BaseRepresentation
bin1000101111110011…
…1010100001011001
320001122011211100200
42023330322201121
514302042020434
61024553452413
7112120453020
oct21374724131
96048154320
102348001369
11aa54271aa
12556411109
132b55b092c
14183ba58b7
15db204199
hex8bf3a859

2348001369 has 48 divisors (see below), whose sum is σ = 3977385984. Its totient is φ = 1306821600.

The previous prime is 2348001367. The next prime is 2348001371. The reversal of 2348001369 is 9631008432.

It is an interprime number because it is at equal distance from previous prime (2348001367) and next prime (2348001371).

It is not a de Polignac number, because 2348001369 - 21 = 2348001367 is a prime.

It is a super-2 number, since 2×23480013692 = 11026220857651748322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2348001367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1166574 + ... + 1168584.

It is an arithmetic number, because the mean of its divisors is an integer number (82862208).

Almost surely, 22348001369 is an apocalyptic number.

It is an amenable number.

2348001369 is a deficient number, since it is larger than the sum of its proper divisors (1629384615).

2348001369 is a wasteful number, since it uses less digits than its factorization.

2348001369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2348001369 is about 48456.1798845101. The cubic root of 2348001369 is about 1329.1258825604.

The spelling of 2348001369 in words is "two billion, three hundred forty-eight million, one thousand, three hundred sixty-nine".

Divisors: 1 3 7 9 21 43 63 129 301 387 431 903 1293 2011 2709 3017 3879 6033 9051 14077 18099 18533 27153 42231 55599 86473 126693 129731 166797 259419 389193 605311 778257 866741 1167579 1815933 2600223 5447799 6067187 7800669 18201561 37269863 54604683 111809589 260889041 335428767 782667123 2348001369