Search a number
-
+
342703680 = 263511172383
BaseRepresentation
bin10100011011010…
…011111001000000
3212212212011001220
4110123103321000
51200213004210
654001155040
711330635044
oct2433237100
9785764056
10342703680
111664a1390
129692ba80
1356000157
143372c024
1520146c70
hex146d3e40

342703680 has 448 divisors, whose sum is σ = 1327269888. Its totient is φ = 73891840.

The previous prime is 342703637. The next prime is 342703693. The reversal of 342703680 is 86307243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4128919 + ... + 4129001.

It is an arithmetic number, because the mean of its divisors is an integer number (2962656).

Almost surely, 2342703680 is an apocalyptic number.

342703680 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 342703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663634944).

342703680 is an abundant number, since it is smaller than the sum of its proper divisors (984566208).

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

342703680 is a wasteful number, since it uses less digits than its factorization.

342703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 342703680 is about 18512.2575608703. The cubic root of 342703680 is about 699.7983636926.

It can be divided in two parts, 34270 and 3680, that added together give a triangular number (37950 = T275).

The spelling of 342703680 in words is "three hundred forty-two million, seven hundred three thousand, six hundred eighty".