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34913016 = 2332974999
BaseRepresentation
bin1000010100101…
…1101011111000
32102200202122200
42011023223320
532414204031
63244150200
7602520135
oct205135370
972622580
1034913016
1118786736
12b838360
1373052b8
1448cb58c
1530e98e6
hex214baf8

34913016 has 48 divisors (see below), whose sum is σ = 95550000. Its totient is φ = 11515392.

The previous prime is 34912979. The next prime is 34913041. The reversal of 34913016 is 61031943.

34913016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4485 + ... + 9483.

It is an arithmetic number, because the mean of its divisors is an integer number (1990625).

Almost surely, 234913016 is an apocalyptic number.

34913016 is a gapful number since it is divisible by the number (36) 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 34913016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47775000).

34913016 is an abundant number, since it is smaller than the sum of its proper divisors (60636984).

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

34913016 is a wasteful number, since it uses less digits than its factorization.

34913016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34913016 is about 5908.7237200600. The cubic root of 34913016 is about 326.8354248585.

Adding to 34913016 its reverse (61031943), we get a palindrome (95944959).

The spelling of 34913016 in words is "thirty-four million, nine hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 4999 6984 9998 14997 19996 29994 39992 44991 59988 89982 119976 179964 359928 484903 969806 1454709 1939612 2909418 3879224 4364127 5818836 8728254 11637672 17456508 34913016