Search a number
-
+
642304035 = 325293115877
BaseRepresentation
bin100110010010001…
…100100000100011
31122202121102111100
4212102030200203
52303412212120
6143422445443
721626331342
oct4622144043
91582542440
10642304035
112aa62258a
1215b133883
13a30bb079
1461439b59
153b5c7490
hex2648c823

642304035 has 48 divisors (see below), whose sum is σ = 1188944640. Its totient is φ = 320060160.

The previous prime is 642304007. The next prime is 642304037. The reversal of 642304035 is 530403246.

It is not a de Polignac number, because 642304035 - 26 = 642303971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (642304037) 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 47 ways as a sum of consecutive naturals, for example, 32517 + ... + 48393.

It is an arithmetic number, because the mean of its divisors is an integer number (24769680).

Almost surely, 2642304035 is an apocalyptic number.

642304035 is a deficient number, since it is larger than the sum of its proper divisors (546640605).

642304035 is a wasteful number, since it uses less digits than its factorization.

642304035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948 (or 15945 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 642304035 is about 25343.7178606455. The cubic root of 642304035 is about 862.8067818574.

It can be divided in two parts, 64230 and 4035, that added together give a triangular number (68265 = T369).

The spelling of 642304035 in words is "six hundred forty-two million, three hundred four thousand, thirty-five".

Divisors: 1 3 5 9 15 29 31 45 87 93 145 155 261 279 435 465 899 1305 1395 2697 4495 8091 13485 15877 40455 47631 79385 142893 238155 460433 492187 714465 1381299 1476561 2302165 2460935 4143897 4429683 6906495 7382805 14273423 20719485 22148415 42820269 71367115 128460807 214101345 642304035