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2774394 = 232797227
BaseRepresentation
bin1010100101010101111010
312012221202100
422211111322
51202240034
6135244230
732403420
oct12452572
95187670
102774394
111625497
12b19676
13761a6c
14523110
1539c099
hex2a557a

2774394 has 48 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 781056.

The previous prime is 2774393. The next prime is 2774411. The reversal of 2774394 is 4934772.

It is a d-powerful number, because it can be written as 217 + 7 + 73 + 43 + 313 + 9 + 410 .

Its product of digits (42336) is a multiple of the sum of its prime divisors (336).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2774393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12109 + ... + 12335.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

22774394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2774394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2774394 is an abundant number, since it is smaller than the sum of its proper divisors (4196934).

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

2774394 is a wasteful number, since it uses less digits than its factorization.

2774394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2774394 is about 1665.6512239962. The cubic root of 2774394 is about 140.5150079163.

The spelling of 2774394 in words is "two million, seven hundred seventy-four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 227 291 454 582 679 681 873 1358 1362 1589 1746 2037 2043 3178 4074 4086 4767 6111 9534 12222 14301 22019 28602 44038 66057 132114 154133 198171 308266 396342 462399 924798 1387197 2774394