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374420 = 22597193
BaseRepresentation
bin1011011011010010100
3201000121102
41123122110
543440140
612005232
73116414
oct1333224
9630542
10374420
11236342
12160818
13101567
149a644
1575e15
hex5b694

374420 has 24 divisors (see below), whose sum is σ = 798504. Its totient is φ = 147456.

The previous prime is 374399. The next prime is 374441. The reversal of 374420 is 24473.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (374399) and next prime (374441).

It can be written as a sum of positive squares in 4 ways, for example, as 9604 + 364816 = 98^2 + 604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 374392 and 374401.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 374420.

It is an unprimeable number.

374420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 2036.

It is an arithmetic number, because the mean of its divisors is an integer number (33271).

2374420 is an apocalyptic number.

It is an amenable number.

374420 is an abundant number, since it is smaller than the sum of its proper divisors (424084).

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

374420 is a wasteful number, since it uses less digits than its factorization.

374420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 374420 is about 611.8986844241. The cubic root of 374420 is about 72.0752813426.

374420 divided by its sum of digits (20) gives a triangular number (18721 = T193).

Adding to 374420 its reverse (24473), we get a palindrome (398893).

It can be divided in two parts, 374 and 420, that multiplied together give a triangular number (157080 = T560).

The spelling of 374420 in words is "three hundred seventy-four thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 97 193 194 386 388 485 772 965 970 1930 1940 3860 18721 37442 74884 93605 187210 374420