Search a number
-
+
1454016312 = 233373167463
BaseRepresentation
bin101011010101010…
…1000011100111000
310202022222200102000
41112222220130320
510434212010222
6400140341000
751013635420
oct12652503470
93668880360
101454016312
11686832a81
12346b44760
131a2311ca8
14db173480
15879b49ac
hex56aa8738

1454016312 has 256 divisors, whose sum is σ = 4846387200. Its totient is φ = 395176320.

The previous prime is 1454016271. The next prime is 1454016337. The reversal of 1454016312 is 2136104541.

It is a happy number.

It is a super-2 number, since 2×14540163122 = 4228326871124162688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3140193 + ... + 3140655.

It is an arithmetic number, because the mean of its divisors is an integer number (18931200).

Almost surely, 21454016312 is an apocalyptic number.

1454016312 is a gapful number since it is divisible by the number (12) 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 1454016312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423193600).

1454016312 is an abundant number, since it is smaller than the sum of its proper divisors (3392370888).

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

1454016312 is a wasteful number, since it uses less digits than its factorization.

1454016312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1454016312 is about 38131.5658215080. The cubic root of 1454016312 is about 1132.8952596027.

The spelling of 1454016312 in words is "one billion, four hundred fifty-four million, sixteen thousand, three hundred twelve".