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34714368 = 2832131961
BaseRepresentation
bin1000010001101…
…1001100000000
32102022200011100
42010123030000
532341324433
63240014400
7601032033
oct204331400
972280140
1034714368
1118660467
12b761400
137265a60
14487901a
1530aab13
hex211b300

34714368 has 216 divisors, whose sum is σ = 115322480. Its totient is φ = 9953280.

The previous prime is 34714319. The next prime is 34714369. The reversal of 34714368 is 86341743.

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 (34714369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569058 + ... + 569118.

Almost surely, 234714368 is an apocalyptic number.

34714368 is a gapful number since it is divisible by the number (38) 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 34714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57661240).

34714368 is an abundant number, since it is smaller than the sum of its proper divisors (80608112).

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

34714368 is a wasteful number, since it uses less digits than its factorization.

34714368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 34714368 is about 5891.8900193401. The cubic root of 34714368 is about 326.2143696501.

The spelling of 34714368 in words is "thirty-four million, seven hundred fourteen thousand, three hundred sixty-eight".