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2354420 = 225117721
BaseRepresentation
bin1000111110110011110100
311102121122202
420332303310
51100320140
6122244032
726004125
oct10766364
94377582
102354420
111368a02
12956618
13645863
1445404c
15317915
hex23ecf4

2354420 has 12 divisors (see below), whose sum is σ = 4944324. Its totient is φ = 941760.

The previous prime is 2354413. The next prime is 2354459. The reversal of 2354420 is 244532.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 1378276 = 988^2 + 1174^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 117721 = 2354420 / (2 + 3 + 5 + 4 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2354392 and 2354401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58841 + ... + 58880.

It is an arithmetic number, because the mean of its divisors is an integer number (412027).

22354420 is an apocalyptic number.

2354420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2354420 is an abundant number, since it is smaller than the sum of its proper divisors (2589904).

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

2354420 is a wasteful number, since it uses less digits than its factorization.

2354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117730 (or 117728 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2354420 is about 1534.4119394739. The cubic root of 2354420 is about 133.0335905508.

Adding to 2354420 its reverse (244532), we get a palindrome (2598952).

The spelling of 2354420 in words is "two million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 117721 235442 470884 588605 1177210 2354420