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684410203240 = 235172367742509
BaseRepresentation
bin10011111010110100000…
…01101110110001101000
32102102120201112122222221
421331122001232301220
542203133003000430
61242225205523424
7100306215512011
oct11753201566150
92372521478887
10684410203240
11244290798645
12b0787713574
134c70268852a
14251a8a32008
1512c0a5dd57a
hex9f5a06ec68

684410203240 has 64 divisors (see below), whose sum is σ = 1630613883600. Its totient is φ = 257643368448.

The previous prime is 684410203231. The next prime is 684410203241. The reversal of 684410203240 is 42302014486.

684410203240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 542128854436 + 142281348804 = 736294^2 + 377202^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 684410203196 and 684410203205.

It is not an unprimeable number, because it can be changed into a prime (684410203241) 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, 16079106 + ... + 16121614.

Almost surely, 2684410203240 is an apocalyptic number.

It is an amenable number.

684410203240 is an abundant number, since it is smaller than the sum of its proper divisors (946203680360).

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

684410203240 is a wasteful number, since it uses less digits than its factorization.

684410203240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66214 (or 66210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 684410203240 in words is "six hundred eighty-four billion, four hundred ten million, two hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 23677 42509 47354 85018 94708 118385 170036 189416 212545 236770 340072 402509 425090 473540 722653 805018 850180 947080 1445306 1610036 1700360 2012545 2890612 3220072 3613265 4025090 5781224 7226530 8050180 14453060 16100360 28906120 1006485593 2012971186 4025942372 5032427965 8051884744 10064855930 17110255081 20129711860 34220510162 40259423720 68441020324 85551275405 136882040648 171102550810 342205101620 684410203240