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634394240 = 2757691289
BaseRepresentation
bin100101110100000…
…001011010000000
31122012201120021222
4211310001122000
52244401103430
6142541134212
721502155614
oct4564013200
91565646258
10634394240
112a610a867
1215855a368
13a157ba0c
146037b344
153aa639e5
hex25d01680

634394240 has 64 divisors (see below), whose sum is σ = 1519749000. Its totient is φ = 253231104.

The previous prime is 634394239. The next prime is 634394251. The reversal of 634394240 is 42493436.

It can be written as a sum of positive squares in 4 ways, for example, as 559606336 + 74787904 = 23656^2 + 8648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 634394240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491516 + ... + 492804.

Almost surely, 2634394240 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 634394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759874500).

634394240 is an abundant number, since it is smaller than the sum of its proper divisors (885354760).

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

634394240 is a wasteful number, since it uses less digits than its factorization.

634394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 634394240 is about 25187.1840426833. The cubic root of 634394240 is about 859.2504014442.

The spelling of 634394240 in words is "six hundred thirty-four million, three hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 769 1289 1538 2578 3076 3845 5156 6152 6445 7690 10312 12304 12890 15380 20624 24608 25780 30760 41248 49216 51560 61520 82496 98432 103120 123040 164992 206240 246080 412480 492160 824960 991241 1982482 3964964 4956205 7929928 9912410 15859856 19824820 31719712 39649640 63439424 79299280 126878848 158598560 317197120 634394240