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634249216 = 213139557
BaseRepresentation
bin100101110011011…
…110000000000000
31122012110012100201
4211303132000000
52244331433331
6142534054544
721501013036
oct4563360000
91565405321
10634249216
112a6020907
121584aa454
13a152a9c3
1460340556
153aa35a61
hex25cde000

634249216 has 56 divisors (see below), whose sum is σ = 1279839960. Its totient is φ = 314277888.

The previous prime is 634249211. The next prime is 634249229. The reversal of 634249216 is 612942436.

It is a happy number.

It is a super-2 number, since 2×6342492162 = 804544135993229312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634249211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1138410 + ... + 1138966.

It is an arithmetic number, because the mean of its divisors is an integer number (22854285).

Almost surely, 2634249216 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 634249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639919980).

634249216 is an abundant number, since it is smaller than the sum of its proper divisors (645590744).

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

634249216 is an equidigital number, since it uses as much as digits as its factorization.

634249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 698 counting only the distinct ones).

The product of its digits is 62208, while the sum is 37.

The square root of 634249216 is about 25184.3049536810. The cubic root of 634249216 is about 859.1849209070.

The spelling of 634249216 in words is "six hundred thirty-four million, two hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 557 1024 1112 1114 2048 2224 2228 4096 4448 4456 8192 8896 8912 17792 17824 35584 35648 71168 71296 77423 142336 142592 154846 284672 285184 309692 569344 570368 619384 1138688 1140736 1238768 2281472 2477536 4562944 4955072 9910144 19820288 39640576 79281152 158562304 317124608 634249216