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341044080 = 243513281389
BaseRepresentation
bin10100010100111…
…110101101110000
3212202201211112020
4110110332231300
51144301402310
653501431440
711310553416
oct2424765560
9782654466
10341044080
11165568513
129626b580
135586b940
14334192b6
151ee1a170
hex1453eb70

341044080 has 160 divisors (see below), whose sum is σ = 1145551680. Its totient is φ = 83435520.

The previous prime is 341044073. The next prime is 341044087. The reversal of 341044080 is 80440143.

It is an interprime number because it is at equal distance from previous prime (341044073) and next prime (341044087).

It is a super-2 number, since 2×3410440802 = 232622129006092800, which contains 22 as substring.

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 341044080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341044087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876526 + ... + 876914.

It is an arithmetic number, because the mean of its divisors is an integer number (7159698).

Almost surely, 2341044080 is an apocalyptic number.

341044080 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 341044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572775840).

341044080 is an abundant number, since it is smaller than the sum of its proper divisors (804507600).

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

341044080 is a wasteful number, since it uses less digits than its factorization.

341044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

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

The square root of 341044080 is about 18467.3788069666. The cubic root of 341044080 is about 698.6669050139. Note that the first 3 decimals are identical.

The spelling of 341044080 in words is "three hundred forty-one million, forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 281 312 389 390 520 562 624 778 780 843 1040 1124 1167 1405 1556 1560 1686 1945 2248 2334 2810 3112 3120 3372 3653 3890 4215 4496 4668 5057 5620 5835 6224 6744 7306 7780 8430 9336 10114 10959 11240 11670 13488 14612 15171 15560 16860 18265 18672 20228 21918 22480 23340 25285 29224 30342 31120 33720 36530 40456 43836 46680 50570 54795 58448 60684 67440 73060 75855 80912 87672 93360 101140 109309 109590 121368 146120 151710 175344 202280 218618 219180 242736 292240 303420 327927 404560 437236 438360 546545 606840 655854 874472 876720 1093090 1213680 1311708 1421017 1639635 1748944 2186180 2623416 2842034 3279270 4263051 4372360 5246832 5684068 6558540 7105085 8526102 8744720 11368136 13117080 14210170 17052204 21315255 22736272 26234160 28420340 34104408 42630510 56840680 68208816 85261020 113681360 170522040 341044080