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341031440 = 24541173601
BaseRepresentation
bin10100010100111…
…011101000010000
3212202201012012002
4110110323220100
51144301001230
653501253132
711310501521
oct2424735020
9782635162
10341031440
11165559a72
12962641a8
1355865c69
1433414848
151ee16545
hex1453ba10

341031440 has 80 divisors (see below), whose sum is σ = 818291376. Its totient is φ = 132096000.

The previous prime is 341031433. The next prime is 341031451. The reversal of 341031440 is 44130143.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1882384 + 339149056 = 1372^2 + 18416^2 .

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567140 + ... + 567740.

Almost surely, 2341031440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409145688).

341031440 is an abundant number, since it is smaller than the sum of its proper divisors (477259936).

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

341031440 is a wasteful number, since it uses less digits than its factorization.

341031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 341031440 is about 18467.0365787259. The cubic root of 341031440 is about 698.6582734231.

Adding to 341031440 its reverse (44130143), we get a palindrome (385161583).

The spelling of 341031440 in words is "three hundred forty-one million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 173 205 328 346 410 601 656 692 820 865 1202 1384 1640 1730 2404 2768 3005 3280 3460 4808 6010 6920 7093 9616 12020 13840 14186 24040 24641 28372 35465 48080 49282 56744 70930 98564 103973 113488 123205 141860 197128 207946 246410 283720 394256 415892 492820 519865 567440 831784 985640 1039730 1663568 1971280 2079460 4158920 4262893 8317840 8525786 17051572 21314465 34103144 42628930 68206288 85257860 170515720 341031440