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34780077 = 3329431033
BaseRepresentation
bin1000010010101…
…1001110101101
32102110000022000
42010223032231
532400430302
63241242513
7601424433
oct204531655
972400260
1034780077
11186a5872
12b793439
137289937
144894d53
1530c031c
hex212b3ad

34780077 has 32 divisors (see below), whose sum is σ = 54595200. Its totient is φ = 21845376.

The previous prime is 34780069. The next prime is 34780099. The reversal of 34780077 is 77008743.

It is a happy number.

34780077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34780077 - 23 = 34780069 is a prime.

It is a super-2 number, since 2×347800772 = 2419307512251858, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30780077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33153 + ... + 34185.

It is an arithmetic number, because the mean of its divisors is an integer number (1706100).

Almost surely, 234780077 is an apocalyptic number.

It is an amenable number.

34780077 is a deficient number, since it is larger than the sum of its proper divisors (19815123).

34780077 is a wasteful number, since it uses less digits than its factorization.

34780077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 34780077 is about 5897.4636073485. The cubic root of 34780077 is about 326.4200645916.

The spelling of 34780077 in words is "thirty-four million, seven hundred eighty thousand, seventy-seven".

Divisors: 1 3 9 27 29 43 87 129 261 387 783 1033 1161 1247 3099 3741 9297 11223 27891 29957 33669 44419 89871 133257 269613 399771 808839 1199313 1288151 3864453 11593359 34780077