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4345614680 = 2351117357089
BaseRepresentation
bin1000000110000010…
…01101000101011000
3102012212001002122212
410003001031011120
532344434132210
61555113334252
7212455054361
oct40301150530
912185032585
104345614680
11192aa936a0
12a13407388
13543400844
142d31dcb68
151a6794805
hex10304d158

4345614680 has 64 divisors (see below), whose sum is σ = 10728352800. Its totient is φ = 1571061760.

The previous prime is 4345614673. The next prime is 4345614727. The reversal of 4345614680 is 864165434.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47576 + ... + 104664.

Almost surely, 24345614680 is an apocalyptic number.

4345614680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4345614680 is the 38060-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4345614680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364176400).

4345614680 is an abundant number, since it is smaller than the sum of its proper divisors (6382738120).

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

4345614680 is a wasteful number, since it uses less digits than its factorization.

4345614680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57284 (or 57280 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 4345614680 is about 65921.2763832740. The cubic root of 4345614680 is about 1631.8631611447.

The spelling of 4345614680 in words is "four billion, three hundred forty-five million, six hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1384 1730 1903 3460 3806 6920 7612 9515 15224 19030 38060 57089 76120 114178 228356 285445 456712 570890 627979 1141780 1255958 2283560 2511916 3139895 5023832 6279790 9876397 12559580 19752794 25119160 39505588 49381985 79011176 98763970 108640367 197527940 217280734 395055880 434561468 543201835 869122936 1086403670 2172807340 4345614680