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34412067 = 332971619
BaseRepresentation
bin1000001101000…
…1011000100011
32101202022111000
42003101120203
532302141232
63225323043
7565332504
oct203213043
971668430
1034412067
1118474328
12b636483
13718b291
1447dabab
15304b27c
hex20d1623

34412067 has 32 divisors (see below), whose sum is σ = 53568000. Its totient is φ = 21803040.

The previous prime is 34412057. The next prime is 34412087. The reversal of 34412067 is 76021443.

It is not a de Polignac number, because 34412067 - 216 = 34346531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34412067.

It is not an unprimeable number, because it can be changed into a prime (34412057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55284 + ... + 55902.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 234412067 is an apocalyptic number.

34412067 is a deficient number, since it is larger than the sum of its proper divisors (19155933).

34412067 is a wasteful number, since it uses less digits than its factorization.

34412067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34412067 is about 5866.1799324603. The cubic root of 34412067 is about 325.2646900896.

The spelling of 34412067 in words is "thirty-four million, four hundred twelve thousand, sixty-seven".

Divisors: 1 3 9 27 29 71 87 213 261 619 639 783 1857 1917 2059 5571 6177 16713 17951 18531 43949 53853 55593 131847 161559 395541 484677 1186623 1274521 3823563 11470689 34412067