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4314420 = 22325112179
BaseRepresentation
bin10000011101010100110100
322010012021100
4100131110310
52101030140
6232250100
751446325
oct20352464
98105240
104314420
112487540
121540930
13b80a16
1480444c
155a3530
hex41d534

4314420 has 72 divisors (see below), whose sum is σ = 14283360. Its totient is φ = 1045440.

The previous prime is 4314419. The next prime is 4314433. The reversal of 4314420 is 244134.

It is a super-2 number, since 2×43144202 = 37228439872800, which contains 22 as substring.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4314393 and 4314402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891 + ... + 3069.

It is an arithmetic number, because the mean of its divisors is an integer number (198380).

Almost surely, 24314420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7141680).

4314420 is an abundant number, since it is smaller than the sum of its proper divisors (9968940).

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

4314420 is a wasteful number, since it uses less digits than its factorization.

4314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2200 counting only the distinct ones).

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

The square root of 4314420 is about 2077.1181959629. The cubic root of 4314420 is about 162.7949043273.

Adding to 4314420 its reverse (244134), we get a palindrome (4558554).

It can be divided in two parts, 431 and 4420, that added together give a triangular number (4851 = T98).

The spelling of 4314420 in words is "four million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2179 4358 6537 8716 10895 13074 19611 21790 23969 26148 32685 39222 43580 47938 65370 71907 78444 95876 98055 119845 130740 143814 196110 215721 239690 287628 359535 392220 431442 479380 719070 862884 1078605 1438140 2157210 4314420