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341680640 = 295723829
BaseRepresentation
bin10100010111011…
…010001000000000
3212210221011201112
4110113122020000
51144432240030
653523222452
711316144320
oct2427321000
9783834645
10341680640
111659627a4
1296517a28
1355a325c2
1433543280
151eee3a95
hex145da200

341680640 has 160 divisors (see below), whose sum is σ = 978151680. Its totient is φ = 111919104.

The previous prime is 341680631. The next prime is 341680649. The reversal of 341680640 is 46086143.

It is an interprime number because it is at equal distance from previous prime (341680631) and next prime (341680649).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 341680597 and 341680606.

It is not an unprimeable number, because it can be changed into a prime (341680649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411746 + ... + 412574.

It is an arithmetic number, because the mean of its divisors is an integer number (6113448).

Almost surely, 2341680640 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 341680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489075840).

341680640 is an abundant number, since it is smaller than the sum of its proper divisors (636471040).

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

341680640 is an equidigital number, since it uses as much as digits as its factorization.

341680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 341680640 is about 18484.6054867287. The cubic root of 341680640 is about 699.1013229407.

The spelling of 341680640 in words is "three hundred forty-one million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 256 280 320 322 368 448 460 512 560 640 644 736 805 829 896 920 1120 1280 1288 1472 1610 1658 1792 1840 2240 2560 2576 2944 3220 3316 3584 3680 4145 4480 5152 5803 5888 6440 6632 7360 8290 8960 10304 11606 11776 12880 13264 14720 16580 17920 19067 20608 23212 25760 26528 29015 29440 33160 38134 41216 46424 51520 53056 58030 58880 66320 76268 82432 92848 95335 103040 106112 116060 132640 133469 152536 185696 190670 206080 212224 232120 265280 266938 305072 371392 381340 412160 424448 464240 530560 533876 610144 667345 742784 762680 928480 1061120 1067752 1220288 1334690 1485568 1525360 1856960 2122240 2135504 2440576 2669380 2971136 3050720 3713920 4271008 4881152 5338760 6101440 7427840 8542016 9762304 10677520 12202880 14855680 17084032 21355040 24405760 34168064 42710080 48811520 68336128 85420160 170840320 341680640