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634247680 = 29511101223
BaseRepresentation
bin100101110011011…
…101101000000000
31122012110010020211
4211303131220000
52244331411210
6142534043504
721501005413
oct4563355000
91565403224
10634247680
112a601a740
121584a9594
13a152a0b1
146033db7a
153aa3538a
hex25cdda00

634247680 has 160 divisors (see below), whose sum is σ = 1682892288. Its totient is φ = 227328000.

The previous prime is 634247651. The next prime is 634247681. The reversal of 634247680 is 86742436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (634247681) by changing a digit.

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, 2844049 + ... + 2844271.

Almost surely, 2634247680 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 634247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841446144).

634247680 is an abundant number, since it is smaller than the sum of its proper divisors (1048644608).

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

634247680 is a wasteful number, since it uses less digits than its factorization.

634247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 634247680 is about 25184.2744584790. The cubic root of 634247680 is about 859.1842273262.

The spelling of 634247680 in words is "six hundred thirty-four million, two hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 223 256 320 352 404 440 446 505 512 640 704 808 880 892 1010 1111 1115 1280 1408 1616 1760 1784 2020 2222 2230 2453 2560 2816 3232 3520 3568 4040 4444 4460 4906 5555 5632 6464 7040 7136 8080 8888 8920 9812 11110 12265 12928 14080 14272 16160 17776 17840 19624 22220 22523 24530 25856 28160 28544 32320 35552 35680 39248 44440 45046 49060 51712 57088 64640 71104 71360 78496 88880 90092 98120 112615 114176 129280 142208 142720 156992 177760 180184 196240 225230 247753 258560 284416 285440 313984 355520 360368 392480 450460 495506 568832 570880 627968 711040 720736 784960 900920 991012 1238765 1255936 1422080 1441472 1569920 1801840 1982024 2477530 2844160 2882944 3139840 3603680 3964048 4955060 5765888 6279680 7207360 7928096 9910120 11531776 14414720 15856192 19820240 28829440 31712384 39640480 57658880 63424768 79280960 126849536 158561920 317123840 634247680