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3428364000 = 25353285697
BaseRepresentation
bin1100110001011000…
…1010111011100000
322211221001221021110
43030112022323200
524010130122000
61324105423320
7150646420215
oct31426127340
98757057243
103428364000
1114aa249686
127b819ab40
13428377269
14247471b0c
15150eab850
hexcc58aee0

3428364000 has 96 divisors (see below), whose sum is σ = 11231359776. Its totient is φ = 914227200.

The previous prime is 3428363987. The next prime is 3428364089. The reversal of 3428364000 is 4638243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130849 + ... + 154848.

It is an arithmetic number, because the mean of its divisors is an integer number (116993331).

Almost surely, 23428364000 is an apocalyptic number.

3428364000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428364000 is an abundant number, since it is smaller than the sum of its proper divisors (7802995776).

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

3428364000 is a wasteful number, since it uses less digits than its factorization.

3428364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285725 (or 285707 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 3428364000 is about 58552.2330914885. The cubic root of 3428364000 is about 1507.8644724316.

The spelling of 3428364000 in words is "three billion, four hundred twenty-eight million, three hundred sixty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 285697 571394 857091 1142788 1428485 1714182 2285576 2856970 3428364 4285455 4571152 5713940 6856728 7142425 8570910 9142304 11427880 13713456 14284850 17141820 21427275 22855760 27426912 28569700 34283640 35712125 42854550 45711520 57139400 68567280 71424250 85709100 107136375 114278800 137134560 142848500 171418200 214272750 228557600 285697000 342836400 428545500 571394000 685672800 857091000 1142788000 1714182000 3428364000