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342153152 = 261121723113
BaseRepresentation
bin10100011001001…
…101011111000000
3212211211011212222
4110121031133000
51200042400102
653541310212
711323153025
oct2431153700
9784734788
10342153152
11166155800
1296705368
1355b696b3
143362754c
1520088aa2
hex1464d7c0

342153152 has 168 divisors, whose sum is σ = 831847968. Its totient is φ = 138772480.

The previous prime is 342153131. The next prime is 342153157. The reversal of 342153152 is 251351243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342153157) 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 23 ways as a sum of consecutive naturals, for example, 3027848 + ... + 3027960.

It is an arithmetic number, because the mean of its divisors is an integer number (4951476).

Almost surely, 2342153152 is an apocalyptic number.

342153152 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 342153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415923984).

342153152 is an abundant number, since it is smaller than the sum of its proper divisors (489694816).

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

342153152 is a wasteful number, since it uses less digits than its factorization.

342153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 342153152 is about 18497.3823012879. The cubic root of 342153152 is about 699.4234381648.

The spelling of 342153152 in words is "three hundred forty-two million, one hundred fifty-three thousand, one hundred fifty-two".