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340105152 = 26315111731
BaseRepresentation
bin10100010001011…
…001011111000000
3212200222010120010
4110101121133000
51144031331102
653425344520
711266563132
oct2421313700
9780863503
10340105152
11164a87042
1295a98140
135560046a
1433253052
151ecd1d6c
hex144597c0

340105152 has 56 divisors (see below), whose sum is σ = 905898112. Its totient is φ = 112608000.

The previous prime is 340105141. The next prime is 340105169. The reversal of 340105152 is 251501043.

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, 23127 + ... + 34857.

It is an arithmetic number, because the mean of its divisors is an integer number (16176752).

Almost surely, 2340105152 is an apocalyptic number.

340105152 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 340105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452949056).

340105152 is an abundant number, since it is smaller than the sum of its proper divisors (565792960).

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

340105152 is a wasteful number, since it uses less digits than its factorization.

340105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11887 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 340105152 is about 18441.9400280990. The cubic root of 340105152 is about 698.0251494073.

Adding to 340105152 its reverse (251501043), we get a palindrome (591606195).

The spelling of 340105152 in words is "three hundred forty million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 11731 14496 23462 28992 35193 46924 70386 93848 140772 187696 281544 375392 563088 750784 1126176 1771381 2252352 3542762 5314143 7085524 10628286 14171048 21256572 28342096 42513144 56684192 85026288 113368384 170052576 340105152