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341742960 = 2432513291259
BaseRepresentation
bin10100010111101…
…001010101110000
3212211001100012200
4110113221111300
51144441233320
653524423200
711316524106
oct2427512560
9784040180
10341742960
111659a55a9
1296547b00
1355a54a90
143355bc76
1520007290
hex145e9570

341742960 has 240 divisors, whose sum is σ = 1279605600. Its totient is φ = 81156096.

The previous prime is 341742881. The next prime is 341742967. The reversal of 341742960 is 69247143.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341742967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270811 + ... + 272069.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2341742960 is an apocalyptic number.

341742960 is a gapful number since it is divisible by the number (30) 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 341742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639802800).

341742960 is an abundant number, since it is smaller than the sum of its proper divisors (937862640).

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

341742960 is a wasteful number, since it uses less digits than its factorization.

341742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 341742960 is about 18486.2911369479. The cubic root of 341742960 is about 699.1438239790.

The spelling of 341742960 in words is "three hundred forty-one million, seven hundred forty-two thousand, nine hundred sixty".