Search a number
-
+
27434464 = 2517293747
BaseRepresentation
bin110100010100…
…1110111100000
31220121211000021
41220221313200
524010400324
62420003224
7452121601
oct150516740
956554007
1027434464
1114538a12
129230514
1358b7315
143901da8
15261dae4
hex1a29de0

27434464 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 11870208.

The previous prime is 27434419. The next prime is 27434507. The reversal of 27434464 is 46443472.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583689 + ... + 583735.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 227434464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

27434464 is an abundant number, since it is smaller than the sum of its proper divisors (34618016).

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

27434464 is a wasteful number, since it uses less digits than its factorization.

27434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 64512, while the sum is 34.

The square root of 27434464 is about 5237.7919011736. The cubic root of 27434464 is about 301.6005713109.

The spelling of 27434464 in words is "twenty-seven million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 37 47 58 68 74 94 116 136 148 188 232 272 296 376 464 493 544 592 629 752 799 928 986 1073 1184 1258 1363 1504 1598 1739 1972 2146 2516 2726 3196 3478 3944 4292 5032 5452 6392 6956 7888 8584 10064 10904 12784 13912 15776 17168 18241 20128 21808 23171 25568 27824 29563 34336 36482 43616 46342 50431 55648 59126 72964 92684 100862 118252 145928 185368 201724 236504 291856 370736 403448 473008 583712 741472 806896 857327 946016 1613792 1714654 3429308 6858616 13717232 27434464