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3414223340 = 2251141894253
BaseRepresentation
bin1100101110000000…
…1110100111101100
322210221110111221022
43023200032213230
523443020121330
61322442353312
7150415263623
oct31340164754
98727414838
103414223340
1114a2270590
127b34bb838
13425465ac8
142456306ba
1514eb16ae5
hexcb80e9ec

3414223340 has 96 divisors (see below), whose sum is σ = 8104380480. Its totient is φ = 1197363200.

The previous prime is 3414223333. The next prime is 3414223357. The reversal of 3414223340 is 433224143.

3414223340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800654 + ... + 804906.

It is an arithmetic number, because the mean of its divisors is an integer number (84420630).

Almost surely, 23414223340 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 3414223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052190240).

3414223340 is an abundant number, since it is smaller than the sum of its proper divisors (4690157140).

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

3414223340 is a wasteful number, since it uses less digits than its factorization.

3414223340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3414223340 is about 58431.3557946416. The cubic root of 3414223340 is about 1505.7884986403.

Adding to 3414223340 its reverse (433224143), we get a palindrome (3847447483).

The spelling of 3414223340 in words is "three billion, four hundred fourteen million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 89 110 164 178 205 220 356 410 445 451 820 890 902 979 1780 1804 1958 2255 3649 3916 4253 4510 4895 7298 8506 9020 9790 14596 17012 18245 19580 21265 36490 40139 42530 46783 72980 80278 85060 93566 160556 174373 187132 200695 233915 348746 378517 401390 467830 697492 757034 802780 871865 935660 1514068 1743730 1892585 1918103 3487460 3785170 3836206 4163687 7570340 7672412 8327374 9590515 15519197 16654748 19181030 20818435 31038394 38362060 41636870 62076788 77595985 83273740 155191970 170711167 310383940 341422334 682844668 853555835 1707111670 3414223340