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2968040 = 23574201
BaseRepresentation
bin1011010100100111101000
312120210101102
423110213220
51224434130
6143340532
734141115
oct13244750
95523342
102968040
111747a29
12bb1748
137cbc4a
1457390c
153d9645
hex2d49e8

2968040 has 16 divisors (see below), whose sum is σ = 6678180. Its totient is φ = 1187200.

The previous prime is 2968039. The next prime is 2968057. The reversal of 2968040 is 408692.

2968040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2735716 + 232324 = 1654^2 + 482^2 .

It is a super-2 number, since 2×29680402 = 17618522883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2967994 and 2968012.

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 3 ways as a sum of consecutive naturals, for example, 37061 + ... + 37140.

22968040 is an apocalyptic number.

2968040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968040 is an abundant number, since it is smaller than the sum of its proper divisors (3710140).

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

2968040 is a wasteful number, since it uses less digits than its factorization.

2968040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74212 (or 74208 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2968040 is about 1722.8000464360. The cubic root of 2968040 is about 143.7109686091.

The spelling of 2968040 in words is "two million, nine hundred sixty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 74201 148402 296804 371005 593608 742010 1484020 2968040