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3376404 = 223417613
BaseRepresentation
bin1100111000010100010100
320100112120000
430320110110
51331021104
6200211300
740461513
oct14702424
96315500
103376404
1119a6819
121169b30
13912a95
1463c67a
1546a639
hex338514

3376404 has 60 divisors (see below), whose sum is σ = 9361044. Its totient is φ = 1057536.

The previous prime is 3376397. The next prime is 3376409. The reversal of 3376404 is 4046733.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 2396304 = 990^2 + 1548^2 .

It is a super-2 number, since 2×33764042 = 22800207942432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3376409) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5202 + ... + 5814.

Almost surely, 23376404 is an apocalyptic number.

3376404 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 3376404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680522).

3376404 is an abundant number, since it is smaller than the sum of its proper divisors (5984640).

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

3376404 is a wasteful number, since it uses less digits than its factorization.

3376404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3376404 is about 1837.4993877550. The cubic root of 3376404 is about 150.0207971164.

The spelling of 3376404 in words is "three million, three hundred seventy-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 613 918 1226 1377 1836 1839 2452 2754 3678 5508 5517 7356 10421 11034 16551 20842 22068 31263 33102 41684 49653 62526 66204 93789 99306 125052 187578 198612 281367 375156 562734 844101 1125468 1688202 3376404