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341554240 = 2651815897
BaseRepresentation
bin10100010110111…
…011010001000000
3212210200202100001
4110112323101000
51144414213430
653520405344
711315106646
oct2426732100
9783622301
10341554240
11165886835
1296476854
13559b9c01
143350d196
151eebb3ca
hex145bb440

341554240 has 56 divisors (see below), whose sum is σ = 817958232. Its totient is φ = 135843840.

The previous prime is 341554211. The next prime is 341554261. The reversal of 341554240 is 42455143.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 323712064 = 4224^2 + 17992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 341554199 and 341554208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54972 + ... + 60868.

It is an arithmetic number, because the mean of its divisors is an integer number (14606397).

Almost surely, 2341554240 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 341554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408979116).

341554240 is an abundant number, since it is smaller than the sum of its proper divisors (476403992).

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

341554240 is a wasteful number, since it uses less digits than its factorization.

341554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 341554240 is about 18481.1861091219. The cubic root of 341554240 is about 699.0151047048.

The spelling of 341554240 in words is "three hundred forty-one million, five hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1810 2896 3620 5792 5897 7240 11584 11794 14480 23588 28960 29485 47176 57920 58970 94352 117940 188704 235880 377408 471760 943520 1067357 1887040 2134714 4269428 5336785 8538856 10673570 17077712 21347140 34155424 42694280 68310848 85388560 170777120 341554240