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3375008 = 257131961
BaseRepresentation
bin1100110111111110100000
320100110122022
430313332200
51331000013
6200201012
740454450
oct14677640
96313568
103375008
1119a576a
121169168
13912260
1463bd60
1546a008
hex337fa0

3375008 has 96 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1244160.

The previous prime is 3375007. The next prime is 3375017. The reversal of 3375008 is 8005733.

It is a super-2 number, since 2×33750082 = 22781358000128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3375008 = 23 + 1503 = 833 + 1413.

It is not an unprimeable number, because it can be changed into a prime (3375007) 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 15 ways as a sum of consecutive naturals, for example, 55298 + ... + 55358.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 23375008 is an apocalyptic number.

3375008 is a gapful number since it is divisible by the number (38) 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 3375008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3375008 is an abundant number, since it is smaller than the sum of its proper divisors (5374432).

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

3375008 is a wasteful number, since it uses less digits than its factorization.

3375008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 3375008 is about 1837.1194844103. The cubic root of 3375008 is about 150.0001185184. Note that the first 3 decimals are identical.

The spelling of 3375008 in words is "three million, three hundred seventy-five thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 61 76 91 104 112 122 133 152 182 208 224 244 247 266 304 364 416 427 488 494 532 608 728 793 854 976 988 1064 1159 1456 1586 1708 1729 1952 1976 2128 2318 2912 3172 3416 3458 3952 4256 4636 5551 6344 6832 6916 7904 8113 9272 11102 12688 13664 13832 15067 16226 18544 22204 25376 27664 30134 32452 37088 44408 55328 60268 64904 88816 105469 120536 129808 177632 210938 241072 259616 421876 482144 843752 1687504 3375008