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34901361 = 351121187
BaseRepresentation
bin1000010100100…
…0110101110001
32102200011200000
42011020311301
532413320421
63244020213
7602441145
oct205106561
972604600
1034901361
1118778a00
12b831669
1372ccbc1
1448c7225
1530e6226
hex2148d71

34901361 has 36 divisors (see below), whose sum is σ = 57513456. Its totient is φ = 21134520.

The previous prime is 34901341. The next prime is 34901369. The reversal of 34901361 is 16310943.

It is not a de Polignac number, because 34901361 - 25 = 34901329 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34901369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28810 + ... + 29996.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 234901361 is an apocalyptic number.

It is an amenable number.

34901361 is a deficient number, since it is larger than the sum of its proper divisors (22612095).

34901361 is a wasteful number, since it uses less digits than its factorization.

34901361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 34901361 is about 5907.7373841429. The cubic root of 34901361 is about 326.7990516920.

It can be divided in two parts, 3490 and 1361, that added together give a triangular number (4851 = T98).

The spelling of 34901361 in words is "thirty-four million, nine hundred one thousand, three hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 1187 2673 3267 3561 9801 10683 13057 29403 32049 39171 96147 117513 143627 288441 352539 430881 1057617 1292643 3172851 3877929 11633787 34901361