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2114340 = 2235131269
BaseRepresentation
bin1000000100001100100100
310222102022220
420010030210
51020124330
6113152340
723654154
oct10041444
93872286
102114340
111214598
1285b6b0
135904b7
143d0764
152bb710
hex204324

2114340 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 557440.

The previous prime is 2114327. The next prime is 2114347. The reversal of 2114340 is 434112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2114347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7726 + ... + 7994.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22114340 is an apocalyptic number.

2114340 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 2114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2114340 is an abundant number, since it is smaller than the sum of its proper divisors (3873180).

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

2114340 is a wasteful number, since it uses less digits than its factorization.

2114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2114340 is about 1454.0770268456. The cubic root of 2114340 is about 128.3487397407.

Adding to 2114340 its reverse (434112), we get a palindrome (2548452).

The spelling of 2114340 in words is "two million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 269 393 524 538 655 786 807 1076 1310 1345 1572 1614 1965 2620 2690 3228 3930 4035 5380 7860 8070 16140 35239 70478 105717 140956 176195 211434 352390 422868 528585 704780 1057170 2114340