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341678427552 = 2536711375397
BaseRepresentation
bin1001111100011011001…
…11110000110110100000
31012122221011020112000000
410332031213300312200
521044224134140202
6420544230300000
733454052500050
oct4761547606640
91178834215000
10341678427552
111219a5623850
12562774b7600
13262b2846667
14127745bb560
158d4b6d791c
hex4f8d9f0da0

341678427552 has 1344 divisors, whose sum is σ = 1329337868544. Its totient is φ = 83846430720.

The previous prime is 341678427491. The next prime is 341678427553. The reversal of 341678427552 is 255724876143.

341678427552 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 7 + 84 + 2 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11289600) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (341678427553) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3522457968 + ... + 3522458064.

It is an arithmetic number, because the mean of its divisors is an integer number (989090676).

Almost surely, 2341678427552 is an apocalyptic number.

341678427552 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 341678427552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664668934272).

341678427552 is an abundant number, since it is smaller than the sum of its proper divisors (987659440992).

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

341678427552 is a wasteful number, since it uses less digits than its factorization.

341678427552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 341678427552 in words is "three hundred forty-one billion, six hundred seventy-eight million, four hundred twenty-seven thousand, five hundred fifty-two".