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34377434 = 27131741271
BaseRepresentation
bin1000001100100…
…0111011011010
32101200112222022
42003020323122
532300034214
63224454442
7565126520
oct203107332
971615868
1034377434
1118450303
12b61a422
1371785a0
1447cc310
153040d8e
hex20c8eda

34377434 has 64 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 12441600.

The previous prime is 34377391. The next prime is 34377463. The reversal of 34377434 is 43477343.

It is a junction number, because it is equal to n+sod(n) for n = 34377394 and 34377403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126719 + ... + 126989.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 234377434 is an apocalyptic number.

34377434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34377434 is an abundant number, since it is smaller than the sum of its proper divisors (34714918).

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

34377434 is a wasteful number, since it uses less digits than its factorization.

34377434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its digits is 84672, while the sum is 35.

The square root of 34377434 is about 5863.2272683225. The cubic root of 34377434 is about 325.1555358095.

Subtracting 34377434 from its reverse (43477343), we obtain a palindrome (9099909).

It can be divided in two parts, 343 and 77434, that added together give a palindrome (77777).

The spelling of 34377434 in words is "thirty-four million, three hundred seventy-seven thousand, four hundred thirty-four".

Divisors: 1 2 7 13 14 17 26 34 41 82 91 119 182 221 238 271 287 442 533 542 574 697 1066 1394 1547 1897 3094 3523 3731 3794 4607 4879 7046 7462 9061 9214 9758 11111 18122 22222 24661 32249 49322 59891 63427 64498 77777 119782 126854 144443 155554 188887 288886 377774 419237 838474 1011101 1322209 2022202 2455531 2644418 4911062 17188717 34377434