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12346420 = 2251736313
BaseRepresentation
bin101111000110…
…010000110100
3212020021002211
4233012100310
511130041140
61120343204
7206641252
oct57062064
925207084
1012346420
116a73059
124174b04
132733898
1418d55d2
15113d2ea
hexbc6434

12346420 has 24 divisors (see below), whose sum is σ = 27453384. Its totient is φ = 4647936.

The previous prime is 12346391. The next prime is 12346427. The reversal of 12346420 is 2464321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 813604 + 11532816 = 902^2 + 3396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12346391 and 12346400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17817 + ... + 18496.

It is an arithmetic number, because the mean of its divisors is an integer number (1143891).

Almost surely, 212346420 is an apocalyptic number.

12346420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12346420 is an abundant number, since it is smaller than the sum of its proper divisors (15106964).

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

12346420 is a wasteful number, since it uses less digits than its factorization.

12346420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36339 (or 36337 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12346420 is about 3513.7472874411. The cubic root of 12346420 is about 231.1250486403.

The spelling of 12346420 in words is "twelve million, three hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 36313 72626 145252 181565 363130 617321 726260 1234642 2469284 3086605 6173210 12346420