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34689816 = 2333722943
BaseRepresentation
bin1000010001010…
…1001100011000
32102021102111000
42010111030120
532340033231
63235305000
7600600330
oct204251430
972242430
1034689816
1118643a77
12b74b160
137257825
1448700c0
1530a36e6
hex2115318

34689816 has 64 divisors (see below), whose sum is σ = 110131200. Its totient is φ = 9910944.

The previous prime is 34689803. The next prime is 34689821. The reversal of 34689816 is 61898643.

It is a super-2 number, since 2×346898162 = 2406766668227712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 9960 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (1720800).

Almost surely, 234689816 is an apocalyptic number.

34689816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34689816 is an abundant number, since it is smaller than the sum of its proper divisors (75441384).

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

34689816 is a wasteful number, since it uses less digits than its factorization.

34689816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22965 (or 22955 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 34689816 is about 5889.8061088630. The cubic root of 34689816 is about 326.1374456500.

The spelling of 34689816 in words is "thirty-four million, six hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 22943 45886 68829 91772 137658 160601 183544 206487 275316 321202 412974 481803 550632 619461 642404 825948 963606 1238922 1284808 1445409 1651896 1927212 2477844 2890818 3854424 4336227 4955688 5781636 8672454 11563272 17344908 34689816