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341941680 = 24325716689
BaseRepresentation
bin10100011000011…
…001110110110000
3212211102102210200
4110120121312300
51200014113210
653532555200
711321312343
oct2430316660
9784372720
10341941680
11166020933
1296622b00
1355ac4372
14335b045a
15200460c0
hex14619db0

341941680 has 120 divisors (see below), whose sum is σ = 1164702240. Its totient is φ = 89886720.

The previous prime is 341941643. The next prime is 341941703. The reversal of 341941680 is 86149143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3419416802 = 233848225042444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47776 + ... + 54464.

It is an arithmetic number, because the mean of its divisors is an integer number (9705852).

Almost surely, 2341941680 is an apocalyptic number.

341941680 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 341941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582351120).

341941680 is an abundant number, since it is smaller than the sum of its proper divisors (822760560).

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

341941680 is a wasteful number, since it uses less digits than its factorization.

341941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 341941680 is about 18491.6651494667. The cubic root of 341941680 is about 699.2793126904.

The spelling of 341941680 in words is "three hundred forty-one million, nine hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 6689 8520 10224 12780 13378 17040 20067 25560 26756 33445 40134 51120 53512 60201 66890 80268 100335 107024 120402 133780 160536 200670 240804 267560 301005 321072 401340 474919 481608 535120 602010 802680 949838 963216 1204020 1424757 1605360 1899676 2374595 2408040 2849514 3799352 4274271 4749190 4816080 5699028 7123785 7598704 8548542 9498380 11398056 14247570 17097084 18996760 21371355 22796112 28495140 34194168 37993520 42742710 56990280 68388336 85485420 113980560 170970840 341941680