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342486144 = 2735711213
BaseRepresentation
bin10100011010011…
…110110010000000
3212212110002200000
4110122132302000
51200134024034
653552400000
711326040610
oct2432366200
9785402600
10342486144
11166362a00
1296846000
1355c55130
14336b2a40
1520102599
hex1469ec80

342486144 has 576 divisors, whose sum is σ = 1382646720. Its totient is φ = 82114560.

The previous prime is 342486139. The next prime is 342486149. The reversal of 342486144 is 441684243.

342486144 is a `hidden beast` number, since 34 + 2 + 4 + 8 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (342486139) and next prime (342486149).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (73728) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 342486099 and 342486108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342486149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26345082 + ... + 26345094.

Almost surely, 2342486144 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 342486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691323360).

342486144 is an abundant number, since it is smaller than the sum of its proper divisors (1040160576).

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

342486144 is a wasteful number, since it uses less digits than its factorization.

342486144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 342486144 is about 18506.3811697479. The cubic root of 342486144 is about 699.6502633876.

The spelling of 342486144 in words is "three hundred forty-two million, four hundred eighty-six thousand, one hundred forty-four".