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616541340 = 223525140939
BaseRepresentation
bin100100101111111…
…010110010011100
31120222010112201110
4210233322302130
52230313310330
6141102342020
721164341422
oct4457726234
91528115643
10616541340
112970266a8
1215258a910
139a96a97c
145bc51112
15391d8db0
hex24bfac9c

616541340 has 48 divisors (see below), whose sum is σ = 1733235840. Its totient is φ = 163752000.

The previous prime is 616541293. The next prime is 616541377. The reversal of 616541340 is 43145616.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 616541298 and 616541307.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5410 + ... + 35529.

It is an arithmetic number, because the mean of its divisors is an integer number (36109080).

Almost surely, 2616541340 is an apocalyptic number.

616541340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616541340 is an abundant number, since it is smaller than the sum of its proper divisors (1116694500).

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

616541340 is a wasteful number, since it uses less digits than its factorization.

616541340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41202 (or 41200 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 616541340 is about 24830.2505021597. The cubic root of 616541340 is about 851.1133461563.

Adding to 616541340 its reverse (43145616), we get a palindrome (659686956).

The spelling of 616541340 in words is "six hundred sixteen million, five hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1506 2510 3012 3765 5020 7530 15060 40939 81878 122817 163756 204695 245634 409390 491268 614085 818780 1228170 2456340 10275689 20551378 30827067 41102756 51378445 61654134 102756890 123308268 154135335 205513780 308270670 616541340