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341952 = 26313137
BaseRepresentation
bin1010011011111000000
3122101001220
41103133000
541420302
611155040
72622642
oct1233700
9571056
10341952
11213a06
12145a80
13bc850
148c892
156b4bc
hex537c0

341952 has 56 divisors (see below), whose sum is σ = 981456. Its totient is φ = 104448.

The previous prime is 341951. The next prime is 341953. The reversal of 341952 is 259143.

341952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341951) and next prime (341953).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (17526).

2341952 is an apocalyptic number.

341952 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 341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490728).

341952 is an abundant number, since it is smaller than the sum of its proper divisors (639504).

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

341952 is a wasteful number, since it uses less digits than its factorization.

341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 341952 is about 584.7666201144. The cubic root of 341952 is about 69.9286347506.

The spelling of 341952 in words is "three hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 137 156 192 208 274 312 411 416 548 624 822 832 1096 1248 1644 1781 2192 2496 3288 3562 4384 5343 6576 7124 8768 10686 13152 14248 21372 26304 28496 42744 56992 85488 113984 170976 341952