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346090680 = 233251373951
BaseRepresentation
bin10100101000001…
…110110010111000
3220010020020011100
4110220032302320
51202044400210
654201531400
711401502505
oct2450166270
9803206140
10346090680
111683a5061
1297aa3b60
13569179b0
1433d704ac
15205b55c0
hex14a0ecb8

346090680 has 96 divisors (see below), whose sum is σ = 1211333760. Its totient is φ = 85190400.

The previous prime is 346090639. The next prime is 346090687. The reversal of 346090680 is 86090643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346090687) by changing a digit.

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, 32296 + ... + 41655.

It is an arithmetic number, because the mean of its divisors is an integer number (12618060).

Almost surely, 2346090680 is an apocalyptic number.

346090680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

346090680 is an abundant number, since it is smaller than the sum of its proper divisors (865243080).

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

346090680 is a wasteful number, since it uses less digits than its factorization.

346090680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73981 (or 73974 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 346090680 is about 18603.5125715549. The cubic root of 346090680 is about 702.0962197961.

The spelling of 346090680 in words is "three hundred forty-six million, ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 73951 147902 221853 295804 369755 443706 591608 665559 739510 887412 961363 1109265 1331118 1479020 1774824 1922726 2218530 2662236 2884089 2958040 3327795 3845452 4437060 4806815 5324472 5768178 6655590 7690904 8652267 8874120 9613630 11536356 13311180 14420445 17304534 19227260 23072712 26622360 28840890 34609068 38454520 43261335 57681780 69218136 86522670 115363560 173045340 346090680