Search a number
-
+
375400080 = 2432511231139
BaseRepresentation
bin10110011000000…
…010011010010000
3222011101022002200
4112120002122100
51232100300310
6101130043200
712205563606
oct2630023220
9864338080
10375400080
111829a3700
12a5879500
135ca0a533
1437bdd876
1522e549c0
hex16602690

375400080 has 360 divisors, whose sum is σ = 1440741120. Its totient is φ = 87436800.

The previous prime is 375400079. The next prime is 375400087. The reversal of 375400080 is 80004573.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (375400087) 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, 2700651 + ... + 2700789.

Almost surely, 2375400080 is an apocalyptic number.

375400080 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 375400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720370560).

375400080 is an abundant number, since it is smaller than the sum of its proper divisors (1065341040).

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

375400080 is a wasteful number, since it uses less digits than its factorization.

375400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 375400080 is about 19375.2439984636. The cubic root of 375400080 is about 721.3811452104.

The spelling of 375400080 in words is "three hundred seventy-five million, four hundred thousand, eighty".