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634307720 = 235294113337
BaseRepresentation
bin100101110011101…
…100010010001000
31122012120011121112
4211303230102020
52244340321340
6142535225452
721501345434
oct4563542210
91565504545
10634307720
112a6060862
12158518288
13a154b517
14603579c4
153aa48065
hex25cec488

634307720 has 64 divisors (see below), whose sum is σ = 1512529200. Its totient is φ = 238981120.

The previous prime is 634307677. The next prime is 634307741. The reversal of 634307720 is 27703436.

It can be written as a sum of positive squares in 8 ways, for example, as 67010596 + 567297124 = 8186^2 + 23818^2 .

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 15 ways as a sum of consecutive naturals, for example, 40892 + ... + 54228.

Almost surely, 2634307720 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 634307720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756264600).

634307720 is an abundant number, since it is smaller than the sum of its proper divisors (878221480).

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

634307720 is a wasteful number, since it uses less digits than its factorization.

634307720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13418 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 634307720 is about 25185.4664439633. The cubic root of 634307720 is about 859.2113375520.

The spelling of 634307720 in words is "six hundred thirty-four million, three hundred seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 13337 23780 26674 47560 53348 66685 106696 133370 266740 386773 533480 546817 773546 1093634 1547092 1933865 2187268 2734085 3094184 3867730 4374536 5468170 7735460 10936340 15470920 15857693 21872680 31715386 63430772 79288465 126861544 158576930 317153860 634307720