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34370916 = 22329283349
BaseRepresentation
bin1000001100011…
…1010101100100
32101200020000220
42003013111210
532244332131
63224404340
7565101516
oct203072544
971606026
1034370916
1118446418
12b6166b0
137175628
1447c9bb6
15303de96
hex20c7564

34370916 has 48 divisors (see below), whose sum is σ = 83496000. Its totient is φ = 10991232.

The previous prime is 34370893. The next prime is 34370927. The reversal of 34370916 is 61907343.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 98310 + ... + 98658.

It is an arithmetic number, because the mean of its divisors is an integer number (1739500).

Almost surely, 234370916 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 34370916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41748000).

34370916 is an abundant number, since it is smaller than the sum of its proper divisors (49125084).

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

34370916 is a wasteful number, since it uses less digits than its factorization.

34370916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 34370916 is about 5862.6714047437. The cubic root of 34370916 is about 325.1349845593.

The spelling of 34370916 in words is "thirty-four million, three hundred seventy thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 283 348 349 566 698 849 1047 1132 1396 1698 2094 3396 4188 8207 10121 16414 20242 24621 30363 32828 40484 49242 60726 98484 98767 121452 197534 296301 395068 592602 1185204 2864243 5728486 8592729 11456972 17185458 34370916