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34429416 = 2337223919
BaseRepresentation
bin1000001101010…
…1100111101000
32101210012021120
42003111213220
532303220131
63225535240
7565434210
oct203254750
971705246
1034429416
111848636a
12b644520
137196148
144803240
153051496
hex20d59e8

34429416 has 64 divisors (see below), whose sum is σ = 98918400. Its totient is φ = 9782208.

The previous prime is 34429393. The next prime is 34429429. The reversal of 34429416 is 61492443.

It is a super-2 number, since 2×344294162 = 2370769372202112, which contains 22 as substring.

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, 37005 + ... + 37923.

It is an arithmetic number, because the mean of its divisors is an integer number (1545600).

Almost surely, 234429416 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 34429416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49459200).

34429416 is an abundant number, since it is smaller than the sum of its proper divisors (64488984).

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

34429416 is a wasteful number, since it uses less digits than its factorization.

34429416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1154 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 34429416 is about 5867.6584767691. The cubic root of 34429416 is about 325.3193421302.

The spelling of 34429416 in words is "thirty-four million, four hundred twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 919 1338 1561 1784 1838 2676 2757 3122 3676 4683 5352 5514 6244 6433 7352 9366 11028 12488 12866 18732 19299 22056 25732 37464 38598 51464 77196 154392 204937 409874 614811 819748 1229622 1434559 1639496 2459244 2869118 4303677 4918488 5738236 8607354 11476472 17214708 34429416