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342489840 = 243571143431
BaseRepresentation
bin10100011010011…
…111101011110000
3212212110021201220
4110122133223300
51200134133330
653552425040
711326054440
oct2432375360
9785407656
10342489840
11166365760
1296848180
1355c56a14
14336b4120
1520103710
hex1469faf0

342489840 has 320 divisors, whose sum is σ = 1357627392. Its totient is φ = 69350400.

The previous prime is 342489827. The next prime is 342489841. The reversal of 342489840 is 48984243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 342489792 and 342489801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342489841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794425 + ... + 794855.

Almost surely, 2342489840 is an apocalyptic number.

342489840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678813696).

342489840 is an abundant number, since it is smaller than the sum of its proper divisors (1015137552).

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

342489840 is a wasteful number, since it uses less digits than its factorization.

342489840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 342489840 is about 18506.4810269268. The cubic root of 342489840 is about 699.6527801786.

The spelling of 342489840 in words is "three hundred forty-two million, four hundred eighty-nine thousand, eight hundred forty".