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34065948 = 22373071321
BaseRepresentation
bin1000000111110…
…0111000011100
32101002201200210
42001330320130
532210102243
63214052420
7562361430
oct201747034
971081623
1034065948
1118258284
12b4aa110
137099887
14474a9c0
152ecd933
hex207ce1c

34065948 has 48 divisors (see below), whose sum is σ = 91207424. Its totient is φ = 9694080.

The previous prime is 34065947. The next prime is 34065953. The reversal of 34065948 is 84956043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34065947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25128 + ... + 26448.

Almost surely, 234065948 is an apocalyptic number.

It is an amenable number.

34065948 is an abundant number, since it is smaller than the sum of its proper divisors (57141476).

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

34065948 is a wasteful number, since it uses less digits than its factorization.

34065948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 34065948 is about 5836.6041496747. The cubic root of 34065948 is about 324.1705016328.

The spelling of 34065948 in words is "thirty-four million, sixty-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 307 614 921 1228 1321 1842 2149 2642 3684 3963 4298 5284 6447 7926 8596 9247 12894 15852 18494 25788 27741 36988 55482 110964 405547 811094 1216641 1622188 2433282 2838829 4866564 5677658 8516487 11355316 17032974 34065948