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345081044 = 2271110111093
BaseRepresentation
bin10100100100011…
…000010011010100
3220001022221012102
4110210120103110
51201320043134
654124141232
711360066120
oct2444302324
9801287172
10345081044
11167875550
1297697818
1356653289
1433b8a580
152046637e
hex149184d4

345081044 has 48 divisors (see below), whose sum is σ = 760427136. Its totient is φ = 133104000.

The previous prime is 345081041. The next prime is 345081047. The reversal of 345081044 is 440180543.

It is an interprime number because it is at equal distance from previous prime (345081041) and next prime (345081047).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 345080998 and 345081016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345081041) 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 15 ways as a sum of consecutive naturals, for example, 25562 + ... + 36654.

It is an arithmetic number, because the mean of its divisors is an integer number (15842232).

Almost surely, 2345081044 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 345081044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380213568).

345081044 is an abundant number, since it is smaller than the sum of its proper divisors (415346092).

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

345081044 is a wasteful number, since it uses less digits than its factorization.

345081044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 345081044 is about 18576.3571240435. The cubic root of 345081044 is about 701.4128227462.

The spelling of 345081044 in words is "three hundred forty-five million, eighty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 2222 2828 4444 7777 11093 15554 22186 31108 44372 77651 122023 155302 244046 310604 488092 854161 1120393 1708322 2240786 3416644 4481572 7842751 12324323 15685502 24648646 31371004 49297292 86270261 172540522 345081044