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34725416 = 23111013907
BaseRepresentation
bin1000010001110…
…1111000101000
32102100020022112
42010131320220
532342203131
63240141452
7601106165
oct204357050
972306275
1034725416
11186687a0
12b767888
13726aaab
14487d06c
1530ae02b
hex211de28

34725416 has 32 divisors (see below), whose sum is σ = 71750880. Its totient is φ = 15624000.

The previous prime is 34725413. The next prime is 34725419. The reversal of 34725416 is 61452743.

It is an interprime number because it is at equal distance from previous prime (34725413) and next prime (34725419).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34725413) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6935 + ... + 10841.

It is an arithmetic number, because the mean of its divisors is an integer number (2242215).

Almost surely, 234725416 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 34725416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35875440).

34725416 is an abundant number, since it is smaller than the sum of its proper divisors (37025464).

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

34725416 is a wasteful number, since it uses less digits than its factorization.

34725416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4021 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 34725416 is about 5892.8275046874. The cubic root of 34725416 is about 326.2489723646.

It can be divided in two parts, 3472 and 5416, that added together give a palindrome (8888).

The spelling of 34725416 in words is "thirty-four million, seven hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 3907 4444 7814 8888 15628 31256 42977 85954 171908 343816 394607 789214 1578428 3156856 4340677 8681354 17362708 34725416