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3415688670 = 235378233739
BaseRepresentation
bin1100101110010111…
…0100010111011110
322211001012221222210
43023211310113132
523443404014140
61322534021250
7150433606002
oct31345642736
98731187883
103415688670
1114a30814a9
127b3aa7826
13425859a74
142458d2702
1514ed05d80
hexcb9745de

3415688670 has 64 divisors (see below), whose sum is σ = 8431695360. Its totient is φ = 884919168.

The previous prime is 3415688641. The next prime is 3415688687. The reversal of 3415688670 is 768865143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911661 + ... + 915399.

It is an arithmetic number, because the mean of its divisors is an integer number (131745240).

Almost surely, 23415688670 is an apocalyptic number.

3415688670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415688670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215847680).

3415688670 is an abundant number, since it is smaller than the sum of its proper divisors (5016006690).

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

3415688670 is a wasteful number, since it uses less digits than its factorization.

3415688670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609.

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3415688670 is about 58443.8933508027. The cubic root of 3415688670 is about 1506.0038879353.

The spelling of 3415688670 in words is "three billion, four hundred fifteen million, six hundred eighty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 823 1110 1646 2469 3739 4115 4938 7478 8230 11217 12345 18695 22434 24690 30451 37390 56085 60902 91353 112170 138343 152255 182706 276686 304510 415029 456765 691715 830058 913530 1383430 2075145 3077197 4150290 6154394 9231591 15385985 18463182 30771970 46157955 92315910 113856289 227712578 341568867 569281445 683137734 1138562890 1707844335 3415688670