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1834140 = 2235711397
BaseRepresentation
bin110111111110010011100
310110011222010
412333302130
5432143030
6103151220
721406230
oct6776234
93404863
101834140
111043020
12745510
134c2ab9
1435a5c0
152636b0
hex1bfc9c

1834140 has 96 divisors (see below), whose sum is σ = 6418944. Its totient is φ = 380160.

The previous prime is 1834139. The next prime is 1834141. The reversal of 1834140 is 414381.

It is an interprime number because it is at equal distance from previous prime (1834139) and next prime (1834141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1834141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4422 + ... + 4818.

It is an arithmetic number, because the mean of its divisors is an integer number (66864).

21834140 is an apocalyptic number.

1834140 is a gapful number since it is divisible by the number (10) 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 1834140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209472).

1834140 is an abundant number, since it is smaller than the sum of its proper divisors (4584804).

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

1834140 is a wasteful number, since it uses less digits than its factorization.

1834140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1834140 is about 1354.3042494211. The cubic root of 1834140 is about 122.4082889854.

It can be divided in two parts, 18341 and 40, that added together give a palindrome (18381).

The spelling of 1834140 in words is "one million, eight hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 397 420 462 660 770 794 924 1155 1191 1540 1588 1985 2310 2382 2779 3970 4367 4620 4764 5558 5955 7940 8337 8734 11116 11910 13101 13895 16674 17468 21835 23820 26202 27790 30569 33348 41685 43670 52404 55580 61138 65505 83370 87340 91707 122276 131010 152845 166740 183414 262020 305690 366828 458535 611380 917070 1834140