Search a number
-
+
2314203342 = 2311533172087
BaseRepresentation
bin1000100111101111…
…1111000011001110
312222021120201011220
42021323333003032
514214414001332
61021345224210
7111230255343
oct21173770316
95867521156
102314203342
11a88342250
12547032066
132ab5a8cb9
1417d4c87ca
15d8279d2c
hex89eff0ce

2314203342 has 64 divisors (see below), whose sum is σ = 5163139584. Its totient is φ = 685543040.

The previous prime is 2314203337. The next prime is 2314203347. The reversal of 2314203342 is 2433024132.

It is an interprime number because it is at equal distance from previous prime (2314203337) and next prime (2314203347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314203347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1107823 + ... + 1109909.

It is an arithmetic number, because the mean of its divisors is an integer number (80674056).

Almost surely, 22314203342 is an apocalyptic number.

2314203342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314203342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581569792).

2314203342 is an abundant number, since it is smaller than the sum of its proper divisors (2848936242).

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

2314203342 is a wasteful number, since it uses less digits than its factorization.

2314203342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2314203342 is about 48106.1674008645. The cubic root of 2314203342 is about 1322.7177214051.

Adding to 2314203342 its reverse (2433024132), we get a palindrome (4747227474).

The spelling of 2314203342 in words is "two billion, three hundred fourteen million, two hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 317 318 583 634 951 1166 1749 1902 2087 3487 3498 4174 6261 6974 10461 12522 16801 20922 22957 33602 45914 50403 68871 100806 110611 137742 184811 221222 331833 369622 554433 661579 663666 1108866 1216721 1323158 1984737 2433442 3650163 3969474 7277369 7300326 14554738 21832107 35063687 43664214 70127374 105191061 210382122 385700557 771401114 1157101671 2314203342