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3380678004 = 22311179411601
BaseRepresentation
bin1100100110000001…
…0000110101110100
322201121100020101110
43021200100311310
523410423144004
61315243355020
7146530201044
oct31140206564
98647306343
103380678004
111485339470
127a4222a70
1341b51c1b2
14240dbb724
1514bbdc589
hexc9810d74

3380678004 has 96 divisors (see below), whose sum is σ = 9126940032. Its totient is φ = 962560000.

The previous prime is 3380678003. The next prime is 3380678029. The reversal of 3380678004 is 4008760833.

It is a super-2 number, since 2×33806780042 = 22857967533458848032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380678003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2110804 + ... + 2112404.

It is an arithmetic number, because the mean of its divisors is an integer number (95072292).

Almost surely, 23380678004 is an apocalyptic number.

3380678004 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380678004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563470016).

3380678004 is an abundant number, since it is smaller than the sum of its proper divisors (5746262028).

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

3380678004 is a wasteful number, since it uses less digits than its factorization.

3380678004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3380678004 is about 58143.5981342744. The cubic root of 3380678004 is about 1500.8407144892.

The spelling of 3380678004 in words is "three billion, three hundred eighty million, six hundred seventy-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 941 1122 1601 1882 2244 2823 3202 3764 4803 5646 6404 9606 10351 11292 15997 17611 19212 20702 27217 31053 31994 35222 41404 47991 52833 54434 62106 63988 70444 81651 95982 105666 108868 124212 163302 175967 191964 211332 299387 326604 351934 527901 598774 703868 898161 1055802 1197548 1506541 1796322 2111604 3013082 3592644 4519623 6026164 9039246 16571951 18078492 25611197 33143902 49715853 51222394 66287804 76833591 99431706 102444788 153667182 198863412 281723167 307334364 563446334 845169501 1126892668 1690339002 3380678004