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3374321328 = 24357123983
BaseRepresentation
bin1100100100100000…
…0000111010110000
322201011101021200000
43021020000322300
523402311240303
61314455230000
7146422154340
oct31110007260
98634337600
103374321328
111481797614
127a2078300
1341a104a51
14240204d20
1514b383da3
hexc9200eb0

3374321328 has 120 divisors (see below), whose sum is σ = 11192283648. Its totient is φ = 964084032.

The previous prime is 3374321317. The next prime is 3374321369. The reversal of 3374321328 is 8231234733.

3374321328 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 321 + 328 = 666.

It is a super-2 number, since 2×33743213282 = 22772088849191367168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3374321292 and 3374321301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34776 + ... + 89207.

Almost surely, 23374321328 is an apocalyptic number.

It is an amenable number.

3374321328 is an abundant number, since it is smaller than the sum of its proper divisors (7817962320).

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

3374321328 is a wasteful number, since it uses less digits than its factorization.

3374321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124013 (or 123995 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3374321328 is about 58088.9088208756. The cubic root of 3374321328 is about 1499.8994492598.

The spelling of 3374321328 in words is "three billion, three hundred seventy-four million, three hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 123983 247966 371949 495932 743898 867881 991864 1115847 1487796 1735762 1983728 2231694 2603643 2975592 3347541 3471524 4463388 5207286 5951184 6695082 6943048 7810929 8926776 10042623 10414572 13390164 13886096 15621858 17853552 20085246 20829144 23432787 26780328 30127869 31243716 40170492 41658288 46865574 53560656 60255738 62487432 70298361 80340984 93731148 120511476 124974864 140596722 160681968 187462296 210895083 241022952 281193444 374924592 421790166 482045904 562386888 843580332 1124773776 1687160664 3374321328