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340481040 = 24351997129
BaseRepresentation
bin10100010010110…
…101010000010000
3212201200020011220
4110102311100100
51144130343130
653441405040
711303020044
oct2422652020
9781606156
10340481040
11165213499
1296039780
1355702593
1433310024
151ed58410
hex144b5410

340481040 has 80 divisors (see below), whose sum is σ = 1060944000. Its totient is φ = 90326016.

The previous prime is 340481039. The next prime is 340481041. The reversal of 340481040 is 40184043.

It is an interprime number because it is at equal distance from previous prime (340481039) and next prime (340481041).

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 340481040.

It is not an unprimeable number, because it can be changed into a prime (340481041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44196 + ... + 51324.

It is an arithmetic number, because the mean of its divisors is an integer number (13261800).

Almost surely, 2340481040 is an apocalyptic number.

340481040 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 340481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530472000).

340481040 is an abundant number, since it is smaller than the sum of its proper divisors (720462960).

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

340481040 is a wasteful number, since it uses less digits than its factorization.

340481040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 340481040 is about 18452.1283325258. The cubic root of 340481040 is about 698.2822097837.

The spelling of 340481040 in words is "three hundred forty million, four hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7129 7960 9552 11940 14258 15920 21387 23880 28516 35645 42774 47760 57032 71290 85548 106935 114064 142580 171096 213870 285160 342192 427740 570320 855480 1418671 1710960 2837342 4256013 5674684 7093355 8512026 11349368 14186710 17024052 21280065 22698736 28373420 34048104 42560130 56746840 68096208 85120260 113493680 170240520 340481040