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2938480 = 245231597
BaseRepresentation
bin1011001101011001110000
312112021211121
423031121300
51223012410
6142552024
733655666
oct13153160
95467747
102938480
1117277a6
12b98614
137bb65c
14566c36
153d09da
hex2cd670

2938480 has 40 divisors (see below), whose sum is σ = 7133472. Its totient is φ = 1123584.

The previous prime is 2938451. The next prime is 2938489. The reversal of 2938480 is 848392.

2938480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1042 + ... + 2638.

22938480 is an apocalyptic number.

2938480 is a gapful number since it is divisible by the number (20) 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 2938480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566736).

2938480 is an abundant number, since it is smaller than the sum of its proper divisors (4194992).

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

2938480 is a wasteful number, since it uses less digits than its factorization.

2938480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2938480 is about 1714.1995216427. The cubic root of 2938480 is about 143.2322826003.

The spelling of 2938480 in words is "two million, nine hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1597 1840 3194 6388 7985 12776 15970 25552 31940 36731 63880 73462 127760 146924 183655 293848 367310 587696 734620 1469240 2938480