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34994904 = 2337673109
BaseRepresentation
bin1000010101111…
…1101011011000
32102211220222120
42011133223120
532424314104
63250021240
7603310650
oct205375330
972756876
1034994904
111883220a
12b877820
137333659
14490d360
153113cd9
hex215fad8

34994904 has 64 divisors (see below), whose sum is σ = 101510400. Its totient is φ = 9846144.

The previous prime is 34994899. The next prime is 34994951. The reversal of 34994904 is 40949943.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9702 + ... + 12810.

It is an arithmetic number, because the mean of its divisors is an integer number (1586100).

Almost surely, 234994904 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 34994904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50755200).

34994904 is an abundant number, since it is smaller than the sum of its proper divisors (66515496).

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

34994904 is a wasteful number, since it uses less digits than its factorization.

34994904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 34994904 is about 5915.6490768131. The cubic root of 34994904 is about 327.0907546731.

The spelling of 34994904 in words is "thirty-four million, nine hundred ninety-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3109 3752 5628 6218 9327 11256 12436 18654 21763 24872 37308 43526 65289 74616 87052 130578 174104 208303 261156 416606 522312 624909 833212 1249818 1458121 1666424 2499636 2916242 4374363 4999272 5832484 8748726 11664968 17497452 34994904