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3414420 = 223356323
BaseRepresentation
bin1101000001100110010100
320102110201000
431001212110
51333230140
6201103300
741010402
oct15014624
96373630
103414420
111a22339
121187b30
13927189
1464c472
15476a30
hex341994

3414420 has 48 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 910368.

The previous prime is 3414413. The next prime is 3414421. The reversal of 3414420 is 244143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3414393 and 3414402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414421) 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, 2622 + ... + 3701.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 23414420 is an apocalyptic number.

3414420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414420 is an abundant number, since it is smaller than the sum of its proper divisors (7209900).

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

3414420 is a wasteful number, since it uses less digits than its factorization.

3414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3414420 is about 1847.8149257975. The cubic root of 3414420 is about 150.5817409333.

Adding to 3414420 its reverse (244143), we get a palindrome (3658563).

It can be divided in two parts, 341 and 4420, that added together give a square (4761 = 692).

The spelling of 3414420 in words is "three million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6323 12646 18969 25292 31615 37938 56907 63230 75876 94845 113814 126460 170721 189690 227628 284535 341442 379380 569070 682884 853605 1138140 1707210 3414420