Search a number
-
+
2135343408 = 2431137109303
BaseRepresentation
bin111111101000110…
…1100000100110000
312111211000200110220
41333101230010300
513333121442113
6551515453040
7103626055662
oct17721540460
95454020426
102135343408
119a6389120
124b7157180
13280514013
1416384a532
15c76e9523
hex7f46c130

2135343408 has 80 divisors (see below), whose sum is σ = 6180485376. Its totient is φ = 629579520.

The previous prime is 2135343403. The next prime is 2135343409. The reversal of 2135343408 is 8043435312.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2135343403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35116 + ... + 74187.

Almost surely, 22135343408 is an apocalyptic number.

It is an amenable number.

2135343408 is an abundant number, since it is smaller than the sum of its proper divisors (4045141968).

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

2135343408 is a wasteful number, since it uses less digits than its factorization.

2135343408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109362 (or 109356 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2135343408 is about 46209.7761085249. The cubic root of 2135343408 is about 1287.7233662546.

It can be divided in two parts, 2135 and 343408, that added together give a palindrome (345543).

The spelling of 2135343408 in words is "two billion, one hundred thirty-five million, three hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 109303 218606 327909 437212 655818 874424 1202333 1311636 1748848 2404666 2623272 3606999 4044211 4809332 5246544 7213998 8088422 9618664 12132633 14427996 16176844 19237328 24265266 28855992 32353688 44486321 48530532 57711984 64707376 88972642 97061064 133458963 177945284 194122128 266917926 355890568 533835852 711781136 1067671704 2135343408