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3349377888 = 253312714153
BaseRepresentation
bin1100011110100011…
…0111001101100000
322122102110000200220
43013220313031200
523324420043023
61312204443040
7146000146053
oct30750671540
98572400626
103349377888
1114697001aa
12795849480
13414bb050c
1423ab90a9a
151490a83e3
hexc7a37360

3349377888 has 96 divisors (see below), whose sum is σ = 9111416832. Its totient is φ = 1076198400.

The previous prime is 3349377853. The next prime is 3349377917. The reversal of 3349377888 is 8887739433.

3349377888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×33493778882 = 22436664473246681088, which contains 22 as substring.

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, 804420 + ... + 808572.

It is an arithmetic number, because the mean of its divisors is an integer number (94910592).

Almost surely, 23349377888 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 3349377888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555708416).

3349377888 is an abundant number, since it is smaller than the sum of its proper divisors (5762038944).

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

3349377888 is a wasteful number, since it uses less digits than its factorization.

3349377888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4460 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The square root of 3349377888 is about 57873.8100352828. The cubic root of 3349377888 is about 1496.1944850910.

The spelling of 3349377888 in words is "three billion, three hundred forty-nine million, three hundred seventy-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 271 372 496 542 744 813 992 1084 1488 1626 2168 2976 3252 4153 4336 6504 8306 8401 8672 12459 13008 16612 16802 24918 25203 26016 33224 33604 49836 50406 66448 67208 99672 100812 128743 132896 134416 199344 201624 257486 268832 386229 398688 403248 514972 772458 806496 1029944 1125463 1544916 2059888 2250926 3089832 3376389 4119776 4501852 6179664 6752778 9003704 12359328 13505556 18007408 27011112 34889353 36014816 54022224 69778706 104668059 108044448 139557412 209336118 279114824 418672236 558229648 837344472 1116459296 1674688944 3349377888