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634196080 = 24577871439
BaseRepresentation
bin100101110011010…
…001000001110000
31122012100111110201
4211303101001300
52244323233310
6142533004544
721500402110
oct4563210160
91565314421
10634196080
112a5a949a1
12158483754
13a150c76b
1460329040
153aa24e3a
hex25cd1070

634196080 has 80 divisors (see below), whose sum is σ = 1688463360. Its totient is φ = 217011456.

The previous prime is 634196023. The next prime is 634196081. The reversal of 634196080 is 80691436.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634196081) 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, 440001 + ... + 441439.

It is an arithmetic number, because the mean of its divisors is an integer number (21105792).

Almost surely, 2634196080 is an apocalyptic number.

634196080 is the 12592-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634196080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844231680).

634196080 is an abundant number, since it is smaller than the sum of its proper divisors (1054267280).

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

634196080 is a wasteful number, since it uses less digits than its factorization.

634196080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 634196080 is about 25183.2499888319. The cubic root of 634196080 is about 859.1609266979.

The spelling of 634196080 in words is "six hundred thirty-four million, one hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 787 1439 1574 2878 3148 3935 5509 5756 6296 7195 7870 10073 11018 11512 12592 14390 15740 20146 22036 23024 27545 28780 31480 40292 44072 50365 55090 57560 62960 80584 88144 100730 110180 115120 161168 201460 220360 402920 440720 805840 1132493 2264986 4529972 5662465 7927451 9059944 11324930 15854902 18119888 22649860 31709804 39637255 45299720 63419608 79274510 90599440 126839216 158549020 317098040 634196080