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34868016 = 243380713
BaseRepresentation
bin1000010100000…
…0101100110000
32102121110221000
42011000230300
532411234031
63243202000
7602242011
oct205005460
972543830
1034868016
1118755947
12b816300
1372ba981
1448b9008
1530db3e6
hex2140b30

34868016 has 40 divisors (see below), whose sum is σ = 100085360. Its totient is φ = 11622528.

The previous prime is 34867981. The next prime is 34868017. The reversal of 34868016 is 61086843.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (34868017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39925 + ... + 40788.

It is an arithmetic number, because the mean of its divisors is an integer number (2502134).

Almost surely, 234868016 is an apocalyptic number.

34868016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34868016 is an abundant number, since it is smaller than the sum of its proper divisors (65217344).

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

34868016 is a wasteful number, since it uses less digits than its factorization.

34868016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80730 (or 80718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34868016 is about 5904.9145633108. The cubic root of 34868016 is about 326.6949431768.

The spelling of 34868016 in words is "thirty-four million, eight hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 80713 161426 242139 322852 484278 645704 726417 968556 1291408 1452834 1937112 2179251 2905668 3874224 4358502 5811336 8717004 11622672 17434008 34868016