Search a number
-
+
1370345328 = 2432112314359
BaseRepresentation
bin101000110101101…
…1100111101110000
310112111112202101200
41101223130331300
510301302022303
6343551131200
745646512612
oct12153347560
93474482350
101370345328
11643584800
12322b13b00
1318ab97a31
14cddd2db2
15804883a3
hex51adcf70

1370345328 has 360 divisors, whose sum is σ = 4528043520. Its totient is φ = 385862400.

The previous prime is 1370345279. The next prime is 1370345329. The reversal of 1370345328 is 8235430731.

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

It is a junction number, because it is equal to n+sod(n) for n = 1370345292 and 1370345301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370345329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23226163 + ... + 23226221.

Almost surely, 21370345328 is an apocalyptic number.

1370345328 is a gapful number since it is divisible by the number (18) 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 1370345328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264021760).

1370345328 is an abundant number, since it is smaller than the sum of its proper divisors (3157698192).

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

1370345328 is a wasteful number, since it uses less digits than its factorization.

1370345328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1370345328 is about 37018.1756438645. The cubic root of 1370345328 is about 1110.7338512227.

The spelling of 1370345328 in words is "one billion, three hundred seventy million, three hundred forty-five thousand, three hundred twenty-eight".