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340344032 = 2572336521
BaseRepresentation
bin10100010010010…
…011110011100000
3212201102021020112
4110102103303200
51144112002112
653434430452
711301606440
oct2422236340
9781367215
10340344032
1116512a566
1295b92428
1355685102
14332b6120
151ed2ca22
hex14493ce0

340344032 has 48 divisors (see below), whose sum is σ = 769178592. Its totient is φ = 145213440.

The previous prime is 340344001. The next prime is 340344047. The reversal of 340344032 is 230443043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 340343989 and 340344007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48932 + ... + 55452.

It is an arithmetic number, because the mean of its divisors is an integer number (16024554).

Almost surely, 2340344032 is an apocalyptic number.

340344032 is a gapful number since it is divisible by the number (32) 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 340344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384589296).

340344032 is an abundant number, since it is smaller than the sum of its proper divisors (428834560).

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

340344032 is a wasteful number, since it uses less digits than its factorization.

340344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 340344032 is about 18448.4154333103. The cubic root of 340344032 is about 698.1885353711.

Adding to 340344032 its reverse (230443043), we get a palindrome (570787075).

The spelling of 340344032 in words is "three hundred forty million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 466 932 1631 1864 3262 3728 6521 6524 7456 13042 13048 26084 26096 45647 52168 52192 91294 104336 182588 208672 365176 730352 1460704 1519393 3038786 6077572 10635751 12155144 21271502 24310288 42543004 48620576 85086008 170172016 340344032