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2994640 = 245114183
BaseRepresentation
bin1011011011000111010000
312122010212121
423123013100
51231312030
6144104024
734311505
oct13330720
95563777
102994640
111765a10
121005014
1380b09c
1457d4ac
153e247a
hex2db1d0

2994640 has 80 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 1049600.

The previous prime is 2994637. The next prime is 2994643. The reversal of 2994640 is 464992.

2994640 = 2502 + 2512 + ... + 2902.

2994640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2994637) and next prime (2994643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2994596 and 2994605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994643) 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 15 ways as a sum of consecutive naturals, for example, 36039 + ... + 36121.

22994640 is an apocalyptic number.

2994640 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 2994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2994640 is an abundant number, since it is smaller than the sum of its proper divisors (4879856).

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

2994640 is a wasteful number, since it uses less digits than its factorization.

2994640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 2994640 is about 1730.5028171026. The cubic root of 2994640 is about 144.1390118509.

The spelling of 2994640 in words is "two million, nine hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 83 88 110 164 166 176 205 220 328 332 410 415 440 451 656 664 820 830 880 902 913 1328 1640 1660 1804 1826 2255 3280 3320 3403 3608 3652 4510 4565 6640 6806 7216 7304 9020 9130 13612 14608 17015 18040 18260 27224 34030 36080 36520 37433 54448 68060 73040 74866 136120 149732 187165 272240 299464 374330 598928 748660 1497320 2994640