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345642544 = 24138320021
BaseRepresentation
bin10100100110100…
…001011000110000
3220002101110102201
4110212201120300
51201441030134
654144152544
711364625132
oct2446413060
9802343381
10345642544
111681193a5
1297908754
13567bba20
1433c95052
1520527914
hex149a1630

345642544 has 40 divisors (see below), whose sum is σ = 729922032. Its totient is φ = 157597440.

The previous prime is 345642541. The next prime is 345642553. The reversal of 345642544 is 445246543.

It is not an unprimeable number, because it can be changed into a prime (345642541) 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, 7254 + ... + 27274.

Almost surely, 2345642544 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 345642544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364961016).

345642544 is an abundant number, since it is smaller than the sum of its proper divisors (384279488).

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

345642544 is a wasteful number, since it uses less digits than its factorization.

345642544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125 (or 20119 counting only the distinct ones).

The product of its digits is 230400, while the sum is 37.

The square root of 345642544 is about 18591.4642779960. The cubic root of 345642544 is about 701.7930521494.

The spelling of 345642544 in words is "three hundred forty-five million, six hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 664 1079 1328 2158 4316 8632 17264 20021 40042 80084 160168 260273 320336 520546 1041092 1661743 2082184 3323486 4164368 6646972 13293944 21602659 26587888 43205318 86410636 172821272 345642544