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3416420 = 2257231061
BaseRepresentation
bin1101000010000101100100
320102120110002
431002011210
51333311140
6201120432
741016260
oct15020544
96376402
103416420
111a23897
121189118
13928067
1464d0a0
15477415
hex342164

3416420 has 48 divisors (see below), whose sum is σ = 8563968. Its totient is φ = 1119360.

The previous prime is 3416401. The next prime is 3416423. The reversal of 3416420 is 246143.

It is a happy number.

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 = 3416392 and 3416401.

It is not an unprimeable number, because it can be changed into a prime (3416423) 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, 2690 + ... + 3750.

It is an arithmetic number, because the mean of its divisors is an integer number (178416).

Almost surely, 23416420 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 3416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281984).

3416420 is an abundant number, since it is smaller than the sum of its proper divisors (5147548).

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

3416420 is a wasteful number, since it uses less digits than its factorization.

3416420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3416420 is about 1848.3560263109. The cubic root of 3416420 is about 150.6111363307.

The spelling of 3416420 in words is "three million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1061 1610 2122 3220 4244 5305 7427 10610 14854 21220 24403 29708 37135 48806 74270 97612 122015 148540 170821 244030 341642 488060 683284 854105 1708210 3416420