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3414010032 = 2435878089
BaseRepresentation
bin1100101101111101…
…1010100010110000
322210221001200100000
43023133122202300
523442441310112
61322434030000
7150413415006
oct31337324260
98727050300
103414010032
1114a21352a4
127b3418300
134253bc9a4
142455b6a76
1514eac37dc
hexcb7da8b0

3414010032 has 60 divisors (see below), whose sum is σ = 9908367560. Its totient is φ = 1138002048.

The previous prime is 3414010009. The next prime is 3414010081. The reversal of 3414010032 is 2300104143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3414009987 and 3414010014.

It is an unprimeable number.

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, 435157 + ... + 442932.

Almost surely, 23414010032 is an apocalyptic number.

It is an amenable number.

3414010032 is an abundant number, since it is smaller than the sum of its proper divisors (6494357528).

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

3414010032 is an equidigital number, since it uses as much as digits as its factorization.

3414010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878112 (or 878094 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3414010032 is about 58429.5304790309. The cubic root of 3414010032 is about 1505.7571392954.

Adding to 3414010032 its reverse (2300104143), we get a palindrome (5714114175).

The spelling of 3414010032 in words is "three billion, four hundred fourteen million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 878089 1756178 2634267 3512356 5268534 7024712 7902801 10537068 14049424 15805602 21074136 23708403 31611204 42148272 47416806 63222408 71125209 94833612 126444816 142250418 189667224 213375627 284500836 379334448 426751254 569001672 853502508 1138003344 1707005016 3414010032