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2974240 = 25529641
BaseRepresentation
bin1011010110001000100000
312121002220001
423112020200
51230133430
6143425344
734165153
oct13261040
95532801
102974240
111751655
12bb5254
13801a09
14575c9a
153db3ca
hex2d6220

2974240 has 48 divisors (see below), whose sum is σ = 7280280. Its totient is φ = 1146880.

The previous prime is 2974219. The next prime is 2974289. The reversal of 2974240 is 424792.

It can be written as a sum of positive squares in 4 ways, for example, as 2835856 + 138384 = 1684^2 + 372^2 .

It is a super-2 number, since 2×29742402 = 17692207155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2974199 and 2974208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4320 + ... + 4960.

22974240 is an apocalyptic number.

2974240 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 2974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640140).

2974240 is an abundant number, since it is smaller than the sum of its proper divisors (4306040).

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

2974240 is a wasteful number, since it uses less digits than its factorization.

2974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2974240 is about 1724.5985040003. The cubic root of 2974240 is about 143.8109659485.

The spelling of 2974240 in words is "two million, nine hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 641 928 1160 1282 2320 2564 3205 4640 5128 6410 10256 12820 18589 20512 25640 37178 51280 74356 92945 102560 148712 185890 297424 371780 594848 743560 1487120 2974240