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34962768 = 2432242797
BaseRepresentation
bin1000010101011…
…1110101010000
32102210021220100
42011113311100
532422302033
63245212400
7603115161
oct205276520
972707810
1034962768
1118810055
12b861100
137321b39
144901768
153109513
hex2157d50

34962768 has 30 divisors (see below), whose sum is σ = 97847594. Its totient is φ = 11654208.

The previous prime is 34962757. The next prime is 34962769. The reversal of 34962768 is 86726943.

It can be written as a sum of positive squares in only one way, i.e., 30603024 + 4359744 = 5532^2 + 2088^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34962769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121255 + ... + 121542.

Almost surely, 234962768 is an apocalyptic number.

It is an amenable number.

34962768 is an abundant number, since it is smaller than the sum of its proper divisors (62884826).

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

34962768 is a wasteful number, since it uses less digits than its factorization.

34962768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242811 (or 242802 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 34962768 is about 5912.9322674964. The cubic root of 34962768 is about 326.9906009699.

The spelling of 34962768 in words is "thirty-four million, nine hundred sixty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 242797 485594 728391 971188 1456782 1942376 2185173 2913564 3884752 4370346 5827128 8740692 11654256 17481384 34962768