Search a number
-
+
654397380 = 2234571323193
BaseRepresentation
bin100111000000010…
…100111111000100
31200121100211110000
4213000110333010
52320011204010
6144534001300
722134200040
oct4700247704
91617324400
10654397380
1130643248a
121631a6230
13a57636b0
1462ca7020
153c6b57c0
hex27014fc4

654397380 has 480 divisors, whose sum is σ = 2650120704. Its totient is φ = 131383296.

The previous prime is 654397343. The next prime is 654397409. The reversal of 654397380 is 83793456.

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3390564 + ... + 3390756.

Almost surely, 2654397380 is an apocalyptic number.

654397380 is a gapful number since it is divisible by the number (60) 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 654397380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325060352).

654397380 is an abundant number, since it is smaller than the sum of its proper divisors (1995723324).

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

654397380 is a wasteful number, since it uses less digits than its factorization.

654397380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 654397380 is about 25581.1919190643. The cubic root of 654397380 is about 868.1881436468.

The spelling of 654397380 in words is "six hundred fifty-four million, three hundred ninety-seven thousand, three hundred eighty".