Search a number
-
+
326380353480 = 233454713116361
BaseRepresentation
bin1001011111111011100…
…10001111011111001000
31011012110000012211120000
410233331302033133020
520321411332302410
6405534223403000
732403003142026
oct4577562173710
91135400184500
10326380353480
11116465223325
1253308153460
1324a1532531c
1411b22965716
158753644dc0
hex4bfdc8f7c8

326380353480 has 320 divisors, whose sum is σ = 1128962292480. Its totient is φ = 84527539200.

The previous prime is 326380353451. The next prime is 326380353557. The reversal of 326380353480 is 84353083623.

326380353480 is a `hidden beast` number, since 3 + 2 + 6 + 38 + 0 + 3 + 534 + 80 = 666.

It is a super-2 number, since 2×3263803534802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19940500 + ... + 19956860.

It is an arithmetic number, because the mean of its divisors is an integer number (3528007164).

Almost surely, 2326380353480 is an apocalyptic number.

326380353480 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 326380353480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564481146240).

326380353480 is an abundant number, since it is smaller than the sum of its proper divisors (802581939000).

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

326380353480 is a wasteful number, since it uses less digits than its factorization.

326380353480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16562 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 326380353480 in words is "three hundred twenty-six billion, three hundred eighty million, three hundred fifty-three thousand, four hundred eighty".