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34401381 = 37219109113
BaseRepresentation
bin1000001100111…
…0110001100101
32101201202211020
42003032301211
532301321011
63225201353
7565256400
oct203166145
971652736
1034401381
11184672a3
12b630259
137186461
1447d6d37
153048006
hex20cec65

34401381 has 48 divisors (see below), whose sum is σ = 57182400. Its totient is φ = 18289152.

The previous prime is 34401373. The next prime is 34401397. The reversal of 34401381 is 18310443.

It is not a de Polignac number, because 34401381 - 23 = 34401373 is a prime.

It is a super-2 number, since 2×344013812 = 2366910029414322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304381 + ... + 304493.

It is an arithmetic number, because the mean of its divisors is an integer number (1191300).

Almost surely, 234401381 is an apocalyptic number.

It is an amenable number.

34401381 is a deficient number, since it is larger than the sum of its proper divisors (22781019).

34401381 is a wasteful number, since it uses less digits than its factorization.

34401381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34401381 is about 5865.2690475374. The cubic root of 34401381 is about 325.2310183903.

The spelling of 34401381 in words is "thirty-four million, four hundred one thousand, three hundred eighty-one".

Divisors: 1 3 7 19 21 49 57 109 113 133 147 327 339 399 763 791 931 2071 2147 2289 2373 2793 5341 5537 6213 6441 12317 14497 15029 16023 16611 36951 43491 45087 86219 101479 105203 234023 258657 304437 315609 603533 702069 1638161 1810599 4914483 11467127 34401381