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341071440 = 24357917989
BaseRepresentation
bin10100010101000…
…101011001010000
3212202210020001120
4110111011121100
51144303241230
653502202240
711311026243
oct2425053120
9782706046
10341071440
11165587026
1296283380
135587b228
143342525a
151ee23310
hex14545650

341071440 has 80 divisors (see below), whose sum is σ = 1070764800. Its totient is φ = 89796096.

The previous prime is 341071429. The next prime is 341071441. The reversal of 341071440 is 44170143.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 341071440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341071441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9966 + ... + 27954.

It is an arithmetic number, because the mean of its divisors is an integer number (13384560).

Almost surely, 2341071440 is an apocalyptic number.

341071440 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 341071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535382400).

341071440 is an abundant number, since it is smaller than the sum of its proper divisors (729693360).

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

341071440 is a wasteful number, since it uses less digits than its factorization.

341071440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18084 (or 18078 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 341071440 is about 18468.1195577677. The cubic root of 341071440 is about 698.6855878533.

The spelling of 341071440 in words is "three hundred forty-one million, seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 17989 18960 35978 53967 71956 89945 107934 143912 179890 215868 269835 287824 359780 431736 539670 719560 863472 1079340 1421131 1439120 2158680 2842262 4263393 4317360 5684524 7105655 8526786 11369048 14211310 17053572 21316965 22738096 28422620 34107144 42633930 56845240 68214288 85267860 113690480 170535720 341071440