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345634320 = 24351975797
BaseRepresentation
bin10100100110011…
…111011000010000
3220002101001011010
4110212133120100
51201440244240
654144050520
711364562143
oct2446373020
9802331133
10345634320
111681131a9
1297903a40
13567b8065
1433c9205a
1520525280
hex1499f610

345634320 has 80 divisors (see below), whose sum is σ = 1127874240. Its totient is φ = 87316992.

The previous prime is 345634309. The next prime is 345634321. The reversal of 345634320 is 23436543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (345634321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33339 + ... + 42458.

It is an arithmetic number, because the mean of its divisors is an integer number (14098428).

Almost surely, 2345634320 is an apocalyptic number.

345634320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345634320 is an abundant number, since it is smaller than the sum of its proper divisors (782239920).

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

345634320 is a wasteful number, since it uses less digits than its factorization.

345634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75832 (or 75826 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 345634320 is about 18591.2430999113. The cubic root of 345634320 is about 701.7874860987.

It can be divided in two parts, 34563 and 4320, that added together give a palindrome (38883).

The spelling of 345634320 in words is "three hundred forty-five million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 75797 151594 227391 303188 378985 454782 606376 757970 909564 1136955 1212752 1440143 1515940 1819128 2273910 2880286 3031880 3638256 4320429 4547820 5760572 6063760 7200715 8640858 9095640 11521144 14401430 17281716 18191280 21602145 23042288 28802860 34563432 43204290 57605720 69126864 86408580 115211440 172817160 345634320