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4314634380 = 22325719374871
BaseRepresentation
bin1000000010010110…
…00001100010001100
3102010200202010200100
410001023001202030
532314021300010
61552045331100
7211630533660
oct40113014214
912120663610
104314634380
111914553741
12a04b66a90
13539b745c4
142cd0568a0
151a3bc52c0
hex1012c188c

4314634380 has 288 divisors, whose sum is σ = 16173480960. Its totient is φ = 908858880.

The previous prime is 4314634369. The next prime is 4314634381. The reversal of 4314634380 is 834364134.

It is a happy number.

4314634380 is a `hidden beast` number, since 4 + 3 + 14 + 634 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4314634381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 883345 + ... + 888215.

It is an arithmetic number, because the mean of its divisors is an integer number (56157920).

Almost surely, 24314634380 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 4314634380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086740480).

4314634380 is an abundant number, since it is smaller than the sum of its proper divisors (11858846580).

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

4314634380 is a wasteful number, since it uses less digits than its factorization.

4314634380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4314634380 is about 65685.8765641443. The cubic root of 4314634380 is about 1627.9760066451.

The spelling of 4314634380 in words is "four billion, three hundred fourteen million, six hundred thirty-four thousand, three hundred eighty".