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3420456 = 2331319577
BaseRepresentation
bin1101000011000100101000
320102202222120
431003010220
51333423311
6201151240
741034114
oct15030450
96382876
103420456
111a26926
12118b520
13929b50
14650744
15478706
hex343128

3420456 has 64 divisors (see below), whose sum is σ = 9710400. Its totient is φ = 995328.

The previous prime is 3420433. The next prime is 3420457. The reversal of 3420456 is 6540243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420457) 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, 5640 + ... + 6216.

It is an arithmetic number, because the mean of its divisors is an integer number (151725).

Almost surely, 23420456 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 3420456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855200).

3420456 is an abundant number, since it is smaller than the sum of its proper divisors (6289944).

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

3420456 is a wasteful number, since it uses less digits than its factorization.

3420456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3420456 is about 1849.4474850614. The cubic root of 3420456 is about 150.6704213264.

Adding to 3420456 its reverse (6540243), we get a palindrome (9960699).

The spelling of 3420456 in words is "three million, four hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 577 741 988 1154 1482 1731 1976 2308 2964 3462 4616 5928 6924 7501 10963 13848 15002 21926 22503 30004 32889 43852 45006 60008 65778 87704 90012 131556 142519 180024 263112 285038 427557 570076 855114 1140152 1710228 3420456