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141634350 = 2325211133171
BaseRepresentation
bin10000111000100…
…10101100101110
3100212111202210200
420130102230232
5242224244400
622015414330
73336605064
oct1034225456
9325452720
10141634350
1172a48a90
123b5243a6
1323460210
1414b4c034
15c67ab00
hex8712b2e

141634350 has 288 divisors, whose sum is σ = 467970048. Its totient is φ = 30240000.

The previous prime is 141634349. The next prime is 141634357. The reversal of 141634350 is 53436141.

141634350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141634357) 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 143 ways as a sum of consecutive naturals, for example, 1994815 + ... + 1994885.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2141634350 is an apocalyptic number.

141634350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141634350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

141634350 is an abundant number, since it is smaller than the sum of its proper divisors (326335698).

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

141634350 is a wasteful number, since it uses less digits than its factorization.

141634350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 141634350 is about 11901.0230652663. The cubic root of 141634350 is about 521.2621583348.

The spelling of 141634350 in words is "one hundred forty-one million, six hundred thirty-four thousand, three hundred fifty".