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2343349848 = 2337231394363
BaseRepresentation
bin1000101110101100…
…1010111001011000
320001022102111200010
42023223022321120
514244344143343
61024310041520
7112033100520
oct21353127130
96038374603
102343349848
11aa283a474
125549492a0
132b4642658
14183314680
15daad5d33
hex8bacae58

2343349848 has 128 divisors (see below), whose sum is σ = 7038259200. Its totient is φ = 635665536.

The previous prime is 2343349847. The next prime is 2343349867. The reversal of 2343349848 is 8489433432.

2343349848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2343349797 and 2343349806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343349847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534915 + ... + 539277.

It is an arithmetic number, because the mean of its divisors is an integer number (54986400).

Almost surely, 22343349848 is an apocalyptic number.

2343349848 is a gapful number since it is divisible by the number (28) 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 2343349848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519129600).

2343349848 is an abundant number, since it is smaller than the sum of its proper divisors (4694909352).

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

2343349848 is a wasteful number, since it uses less digits than its factorization.

2343349848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4537 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The square root of 2343349848 is about 48408.1588990947. The cubic root of 2343349848 is about 1328.2476116287.

The spelling of 2343349848 in words is "two billion, three hundred forty-three million, three hundred forty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 139 161 168 184 276 278 322 417 483 552 556 644 834 966 973 1112 1288 1668 1932 1946 2919 3197 3336 3864 3892 4363 5838 6394 7784 8726 9591 11676 12788 13089 17452 19182 22379 23352 25576 26178 30541 34904 38364 44758 52356 61082 67137 76728 89516 91623 100349 104712 122164 134274 179032 183246 200698 244328 268548 301047 366492 401396 537096 602094 606457 702443 732984 802792 1204188 1212914 1404886 1819371 2107329 2408376 2425828 2809772 3638742 4214658 4245199 4851656 5619544 7277484 8429316 8490398 12735597 13948511 14554968 16858632 16980796 25471194 27897022 33961592 41845533 50942388 55794044 83691066 97639577 101884776 111588088 167382132 195279154 292918731 334764264 390558308 585837462 781116616 1171674924 2343349848