Search a number
-
+
340703870976 = 215337229271
BaseRepresentation
bin1001111010100111000…
…10001000000000000000
31012120102020102220201000
410331103202020000000
521040230142332401
6420303414212000
733420650056200
oct4752342100000
91176366386630
10340703870976
111215454a8a97
1256045054000
1326188977471
14126c0db4400
158ce0d80186
hex4f53888000

340703870976 has 768 divisors, whose sum is σ = 1219265568000. Its totient is φ = 93640458240.

The previous prime is 340703870921. The next prime is 340703870993. The reversal of 340703870976 is 679078307043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257209721 + ... + 1257209991.

It is an arithmetic number, because the mean of its divisors is an integer number (1587585375).

Almost surely, 2340703870976 is an apocalyptic number.

340703870976 is a gapful number since it is divisible by the number (36) 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 340703870976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609632784000).

340703870976 is an abundant number, since it is smaller than the sum of its proper divisors (878561697024).

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

340703870976 is an equidigital number, since it uses as much as digits as its factorization.

340703870976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 340703870976 in words is "three hundred forty billion, seven hundred three million, eight hundred seventy thousand, nine hundred seventy-six".