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346073980 = 225719281463
BaseRepresentation
bin10100101000001…
…010101101111100
3220010012101020211
4110220022231330
51202043331410
654201322204
711401403020
oct2450125574
9803171224
10346073980
1116839355a
1297a96364
1356910205
1433d68380
15205b068a
hex14a0ab7c

346073980 has 96 divisors (see below), whose sum is σ = 879298560. Its totient is φ = 111767040.

The previous prime is 346073963. The next prime is 346073983. The reversal of 346073980 is 89370643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346073983) 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, 747229 + ... + 747691.

It is an arithmetic number, because the mean of its divisors is an integer number (9159360).

Almost surely, 2346073980 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 346073980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439649280).

346073980 is an abundant number, since it is smaller than the sum of its proper divisors (533224580).

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

346073980 is a wasteful number, since it uses less digits than its factorization.

346073980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 346073980 is about 18603.0637261716. The cubic root of 346073980 is about 702.0849268064.

The spelling of 346073980 in words is "three hundred forty-six million, seventy-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 281 380 463 532 562 665 926 1124 1330 1405 1852 1967 2315 2660 2810 3241 3934 4630 5339 5620 6482 7868 8797 9260 9835 10678 12964 16205 17594 19670 21356 26695 32410 35188 37373 39340 43985 53390 61579 64820 74746 87970 106780 123158 130103 149492 175940 186865 246316 260206 307895 373730 520412 615790 650515 747460 910721 1231580 1301030 1821442 2471957 2602060 3642884 4553605 4943914 9107210 9887828 12359785 17303699 18214420 24719570 34607398 49439140 69214796 86518495 173036990 346073980