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2934008 = 237112433
BaseRepresentation
bin1011001100010011111000
312112001200222
423030103320
51222342013
6142515212
733636650
oct13142370
95461628
102934008
111724400
12b95b08
137b95cc
14565360
153ce508
hex2cc4f8

2934008 has 48 divisors (see below), whose sum is σ = 6926640. Its totient is φ = 1140480.

The previous prime is 2933993. The next prime is 2934059. The reversal of 2934008 is 8004392.

2934008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6560 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

22934008 is an apocalyptic number.

2934008 is a gapful number since it is divisible by the number (28) 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 2934008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463320).

2934008 is an abundant number, since it is smaller than the sum of its proper divisors (3992632).

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

2934008 is a wasteful number, since it uses less digits than its factorization.

2934008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2934008 is about 1712.8946260643. The cubic root of 2934008 is about 143.1595851535.

The spelling of 2934008 in words is "two million, nine hundred thirty-four thousand, eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 433 484 616 847 866 968 1694 1732 3031 3388 3464 4763 6062 6776 9526 12124 19052 24248 33341 38104 52393 66682 104786 133364 209572 266728 366751 419144 733502 1467004 2934008