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34413093 = 3411132971
BaseRepresentation
bin1000001101000…
…1101000100101
32101202100220000
42003101220211
532302204333
63225331513
7565335501
oct203215045
971670800
1034413093
1118475080
12b636b99
13718b8a0
1447db301
15304b713
hex20d1a25

34413093 has 40 divisors (see below), whose sum is σ = 60414816. Its totient is φ = 19245600.

The previous prime is 34413079. The next prime is 34413097. The reversal of 34413093 is 39031443.

It is not a de Polignac number, because 34413093 - 214 = 34396709 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413097) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10098 + ... + 13068.

Almost surely, 234413093 is an apocalyptic number.

34413093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34413093 is a deficient number, since it is larger than the sum of its proper divisors (26001723).

34413093 is a wasteful number, since it uses less digits than its factorization.

34413093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34413093 is about 5866.2673822457. The cubic root of 34413093 is about 325.2679226597.

The spelling of 34413093 in words is "thirty-four million, four hundred thirteen thousand, ninety-three".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 297 351 429 891 1053 1287 2971 3861 8913 11583 26739 32681 38623 80217 98043 115869 240651 294129 347607 424853 882387 1042821 1274559 2647161 3128463 3823677 11471031 34413093