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4734063360 = 283351341257
BaseRepresentation
bin1000110100010110…
…00001001100000000
3110012220222100002000
410122023001030000
534143410011420
62101431224000
7225212605665
oct43213011400
913186870060
104734063360
11200a289964
12b01518000
135a5a29430
1432ca37a6c
151ca925690
hex11a2c1300

4734063360 has 576 divisors, whose sum is σ = 18604978560. Its totient is φ = 1132462080.

The previous prime is 4734063353. The next prime is 4734063361. The reversal of 4734063360 is 633604374.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×47340633602 = 44822711792988979200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4734063361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18420352 + ... + 18420608.

It is an arithmetic number, because the mean of its divisors is an integer number (32300310).

Almost surely, 24734063360 is an apocalyptic number.

4734063360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4734063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302489280).

4734063360 is an abundant number, since it is smaller than the sum of its proper divisors (13870915200).

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

4734063360 is a wasteful number, since it uses less digits than its factorization.

4734063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 4734063360 is about 68804.5300834182. The cubic root of 4734063360 is about 1679.1056464214.

The spelling of 4734063360 in words is "four billion, seven hundred thirty-four million, sixty-three thousand, three hundred sixty".