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341505312 = 2534382729
BaseRepresentation
bin10100010110101…
…111010100100000
3212210121021012220
4110112233110200
51144411132222
653515351040
711314514211
oct2426572440
9783537186
10341505312
11165852aa5
1296452480
13559a0865
14334d9408
151eeabb5c
hex145af520

341505312 has 48 divisors (see below), whose sum is σ = 917310240. Its totient is φ = 111186432.

The previous prime is 341505289. The next prime is 341505313. The reversal of 341505312 is 213505143.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (341505313) 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 7 ways as a sum of consecutive naturals, for example, 37237 + ... + 45492.

It is an arithmetic number, because the mean of its divisors is an integer number (19110630).

Almost surely, 2341505312 is an apocalyptic number.

341505312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

341505312 is an abundant number, since it is smaller than the sum of its proper divisors (575804928).

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

341505312 is a wasteful number, since it uses less digits than its factorization.

341505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82785 (or 82777 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 341505312 is about 18479.8623371496. The cubic root of 341505312 is about 698.9817248973.

The spelling of 341505312 in words is "three hundred forty-one million, five hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 82729 165458 248187 330916 496374 661832 992748 1323664 1985496 2647328 3557347 3970992 7114694 7941984 10672041 14229388 21344082 28458776 42688164 56917552 85376328 113835104 170752656 341505312