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2927340 = 2234513139
BaseRepresentation
bin1011001010101011101100
312111201120000
423022223230
51222133330
6142424300
733611343
oct13125354
95451500
102927340
11171a399
12b92090
137b6570
14562b5a
153cc560
hex2caaec

2927340 has 120 divisors (see below), whose sum is σ = 9960720. Its totient is φ = 715392.

The previous prime is 2927339. The next prime is 2927341. The reversal of 2927340 is 437292.

It is an interprime number because it is at equal distance from previous prime (2927339) and next prime (2927341).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2927341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20991 + ... + 21129.

It is an arithmetic number, because the mean of its divisors is an integer number (83006).

22927340 is an apocalyptic number.

2927340 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 2927340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980360).

2927340 is an abundant number, since it is smaller than the sum of its proper divisors (7033380).

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

2927340 is a wasteful number, since it uses less digits than its factorization.

2927340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2927340 is about 1710.9471061374. The cubic root of 2927340 is about 143.0510519140.

The spelling of 2927340 in words is "two million, nine hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 139 156 162 180 195 234 260 270 278 324 351 390 405 417 468 540 556 585 695 702 780 810 834 1053 1170 1251 1390 1404 1620 1668 1755 1807 2085 2106 2340 2502 2780 3510 3614 3753 4170 4212 5004 5265 5421 6255 7020 7228 7506 8340 9035 10530 10842 11259 12510 15012 16263 18070 18765 21060 21684 22518 25020 27105 32526 36140 37530 45036 48789 54210 56295 65052 75060 81315 97578 108420 112590 146367 162630 195156 225180 243945 292734 325260 487890 585468 731835 975780 1463670 2927340