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612345216 = 27371571451
BaseRepresentation
bin100100011111111…
…010010110000000
31120200020100201110
4210133322112000
52223230021331
6140432403320
721113564010
oct4437722600
91520210643
10612345216
1129472002a
121510a6540
1399b2ba62
145b47bc40
1538b5a946
hex247fa580

612345216 has 128 divisors (see below), whose sum is σ = 1872034560. Its totient is φ = 173721600.

The previous prime is 612345211. The next prime is 612345229. The reversal of 612345216 is 612543216.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612345211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421291 + ... + 422741.

It is an arithmetic number, because the mean of its divisors is an integer number (14625270).

Almost surely, 2612345216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936017280).

612345216 is an abundant number, since it is smaller than the sum of its proper divisors (1259689344).

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

612345216 is a wasteful number, since it uses less digits than its factorization.

612345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

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

The square root of 612345216 is about 24745.6100349133. The cubic root of 612345216 is about 849.1780825407.

The spelling of 612345216 in words is "six hundred twelve million, three hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 157 168 192 224 314 336 384 448 471 628 672 896 942 1099 1256 1344 1451 1884 2198 2512 2688 2902 3297 3768 4353 4396 5024 5804 6594 7536 8706 8792 10048 10157 11608 13188 15072 17412 17584 20096 20314 23216 26376 30144 30471 34824 35168 40628 46432 52752 60288 60942 69648 70336 81256 92864 105504 121884 139296 140672 162512 185728 211008 227807 243768 278592 325024 422016 455614 487536 557184 650048 683421 911228 975072 1300096 1366842 1594649 1822456 1950144 2733684 3189298 3644912 3900288 4783947 5467368 6378596 7289824 9567894 10934736 12757192 14579648 19135788 21869472 25514384 29159296 38271576 43738944 51028768 76543152 87477888 102057536 153086304 204115072 306172608 612345216