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341709680 = 245131917293
BaseRepresentation
bin10100010111100…
…001001101110000
3212210222122120002
4110113201031300
51144434202210
653524005132
711316325064
oct2427411560
9783878502
10341709680
111659825a4
12965307a8
1355a428a0
143354daa4
151eeec4a5
hex145e1370

341709680 has 80 divisors (see below), whose sum is σ = 900671520. Its totient is φ = 119522304.

The previous prime is 341709679. The next prime is 341709751. The reversal of 341709680 is 86907143.

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 (38).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11114 + ... + 28406.

It is an arithmetic number, because the mean of its divisors is an integer number (11258394).

Almost surely, 2341709680 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 341709680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450335760).

341709680 is an abundant number, since it is smaller than the sum of its proper divisors (558961840).

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

341709680 is a wasteful number, since it uses less digits than its factorization.

341709680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17338 (or 17332 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 341709680 is about 18485.3909885618. The cubic root of 341709680 is about 699.1211283037.

The spelling of 341709680 in words is "three hundred forty-one million, seven hundred nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 17293 19760 34586 69172 86465 138344 172930 224809 276688 328567 345860 449618 657134 691720 899236 1124045 1314268 1383440 1642835 1798472 2248090 2628536 3285670 3596944 4271371 4496180 5257072 6571340 8542742 8992360 13142680 17085484 17984720 21356855 26285360 34170968 42713710 68341936 85427420 170854840 341709680