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3412431640 = 235314167121
BaseRepresentation
bin1100101101100101…
…1001001100011000
322210211002111012001
43023121121030120
523442040303030
61322340130344
7150364122202
oct31331311430
98724074161
103412431640
1114a1257442
127b29969b4
13424c89427
142452c5772
1514e8b0cca
hexcb659318

3412431640 has 64 divisors (see below), whose sum is σ = 8119077120. Its totient is φ = 1288704000.

The previous prime is 3412431629. The next prime is 3412431667. The reversal of 3412431640 is 461342143.

It is a junction number, because it is equal to n+sod(n) for n = 3412431599 and 3412431608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17280 + ... + 84400.

It is an arithmetic number, because the mean of its divisors is an integer number (126860580).

Almost surely, 23412431640 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 3412431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059538560).

3412431640 is an abundant number, since it is smaller than the sum of its proper divisors (4706645480).

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

3412431640 is a wasteful number, since it uses less digits than its factorization.

3412431640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67204 (or 67200 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3412431640 is about 58416.0221172240. The cubic root of 3412431640 is about 1505.5250523593.

Adding to 3412431640 its reverse (461342143), we get a palindrome (3873773783).

The spelling of 3412431640 in words is "three billion, four hundred twelve million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 5084 6355 10168 12710 25420 50840 67121 134242 268484 335605 536968 671210 1342420 2080751 2684840 2751961 4161502 5503922 8323004 10403755 11007844 13759805 16646008 20807510 22015688 27519610 41615020 55039220 83230040 85310791 110078440 170621582 341243164 426553955 682486328 853107910 1706215820 3412431640