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346840380 = 22345347617
BaseRepresentation
bin10100101011000…
…101110100111100
3220011122022120000
4110223011310330
51202242343010
654225554300
711411044305
oct2453056474
9804568500
10346840380
11168867347
12981a5990
1356b1acc3
14340c77ac
15206b27c0
hex14ac5d3c

346840380 has 120 divisors (see below), whose sum is σ = 1092955248. Its totient is φ = 92074752.

The previous prime is 346840357. The next prime is 346840411. The reversal of 346840380 is 83048643.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 561832 + ... + 562448.

Almost surely, 2346840380 is an apocalyptic number.

346840380 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 346840380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546477624).

346840380 is an abundant number, since it is smaller than the sum of its proper divisors (746114868).

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

346840380 is a wasteful number, since it uses less digits than its factorization.

346840380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 346840380 is about 18623.6510920925. The cubic root of 346840380 is about 702.6028133527.

The spelling of 346840380 in words is "three hundred forty-six million, eight hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 347 405 540 617 694 810 1041 1234 1388 1620 1735 1851 2082 2468 3085 3123 3470 3702 4164 5205 5553 6170 6246 6940 7404 9255 9369 10410 11106 12340 12492 15615 16659 18510 18738 20820 22212 27765 28107 31230 33318 37020 37476 46845 49977 55530 56214 62460 66636 83295 93690 99954 111060 112428 140535 166590 187380 199908 214099 249885 281070 333180 428198 499770 562140 642297 856396 999540 1070495 1284594 1926891 2140990 2569188 3211485 3853782 4281980 5780673 6422970 7707564 9634455 11561346 12845940 17342019 19268910 23122692 28903365 34684038 38537820 57806730 69368076 86710095 115613460 173420190 346840380