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3380414448 = 2434092421
BaseRepresentation
bin1100100101111101…
…0000011111110000
322201120211211212010
43021133100133300
523410341230243
61315234002520
7146525022465
oct31137203760
98646754763
103380414448
111485179454
127a4116440
1341b459248
14240d4d66c
1514bb89433
hexc97d07f0

3380414448 has 60 divisors (see below), whose sum is σ = 8774934648. Its totient is φ = 1121379840.

The previous prime is 3380414447. The next prime is 3380414467. The reversal of 3380414448 is 8444140833.

It is a super-2 number, since 2×33804144482 = 22854403680494289408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380414447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8029278 + ... + 8029698.

Almost surely, 23380414448 is an apocalyptic number.

It is an amenable number.

3380414448 is an abundant number, since it is smaller than the sum of its proper divisors (5394520200).

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

3380414448 is an equidigital number, since it uses as much as digits as its factorization.

3380414448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 3380414448 is about 58141.3316668960. The cubic root of 3380414448 is about 1500.8017118735.

The spelling of 3380414448 in words is "three billion, three hundred eighty million, four hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 421 818 842 1227 1263 1636 1684 2454 2526 3272 3368 4908 5052 6544 6736 9816 10104 19632 20208 167281 172189 334562 344378 501843 516567 669124 688756 1003686 1033134 1338248 1377512 2007372 2066268 2676496 2755024 4014744 4132536 8029488 8265072 70425301 140850602 211275903 281701204 422551806 563402408 845103612 1126804816 1690207224 3380414448