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341255440 = 24531373719
BaseRepresentation
bin10100010101110…
…010010100010000
3212210010120110101
4110111302110100
51144330133230
653510142144
711312423551
oct2425622420
9783116411
10341255440
111656a2299
1296351954
1355913bc6
1433472328
151ee5caca
hex14572510

341255440 has 80 divisors (see below), whose sum is σ = 841374720. Its totient is φ = 128494080.

The previous prime is 341255437. The next prime is 341255479. The reversal of 341255440 is 44552143.

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

It is a super-4 number, since 4×3412554404 (a number of 35 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 341255399 and 341255408.

It is an unprimeable number.

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, 89901 + ... + 93619.

It is an arithmetic number, because the mean of its divisors is an integer number (10517184).

Almost surely, 2341255440 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 341255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420687360).

341255440 is an abundant number, since it is smaller than the sum of its proper divisors (500119280).

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

341255440 is a wasteful number, since it uses less digits than its factorization.

341255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3794 counting only the distinct ones).

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

The square root of 341255440 is about 18473.1004436180. The cubic root of 341255440 is about 698.8112067335.

The spelling of 341255440 in words is "three hundred forty-one million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 496 592 620 740 1147 1240 1480 2294 2480 2960 3719 4588 5735 7438 9176 11470 14876 18352 18595 22940 29752 37190 45880 59504 74380 91760 115289 137603 148760 230578 275206 297520 461156 550412 576445 688015 922312 1100824 1152890 1376030 1844624 2201648 2305780 2752060 4265693 4611560 5504120 8531386 9223120 11008240 17062772 21328465 34125544 42656930 68251088 85313860 170627720 341255440