Search a number
-
+
3316668480 = 2632559131149
BaseRepresentation
bin1100010110110000…
…0101100001000000
322120010220012211100
43011230011201000
523243031342410
61305035414400
7145122134256
oct30554054100
98503805740
103316668480
11145219a134
127868b4400
1340b19a238
142366b85d6
151462968c0
hexc5b05840

3316668480 has 336 divisors, whose sum is σ = 11768328000. Its totient is φ = 857026560.

The previous prime is 3316668457. The next prime is 3316668497. The reversal of 3316668480 is 848666133.

It is a super-2 number, since 2×33166684802 = 22000579612451020800, which 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22259446 + ... + 22259594.

Almost surely, 23316668480 is an apocalyptic number.

3316668480 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 3316668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884164000).

3316668480 is an abundant number, since it is smaller than the sum of its proper divisors (8451659520).

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

3316668480 is a wasteful number, since it uses less digits than its factorization.

3316668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3316668480 is about 57590.5242205695. The cubic root of 3316668480 is about 1491.3080236511.

The spelling of 3316668480 in words is "three billion, three hundred sixteen million, six hundred sixty-eight thousand, four hundred eighty".