Search a number
-
+
2342342430 = 2325137271701
BaseRepresentation
bin1000101110011101…
…0100111100011110
320001020112022202100
42023213110330132
514244114424210
61024232305530
7112021403451
oct21347247436
96036468670
102342342430
11aa221159a
125545422a6
132b437bc4c
14183131498
15da9875c0
hex8b9d4f1e

2342342430 has 96 divisors (see below), whose sum is σ = 6165963648. Its totient is φ = 616896000.

The previous prime is 2342342413. The next prime is 2342342449. The reversal of 2342342430 is 342432432.

2342342430 is a `hidden beast` number, since 234 + 2 + 3 + 424 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2342342394 and 2342342403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3341080 + ... + 3341780.

It is an arithmetic number, because the mean of its divisors is an integer number (64228788).

Almost surely, 22342342430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342342430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082981824).

2342342430 is an abundant number, since it is smaller than the sum of its proper divisors (3823621218).

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

2342342430 is a wasteful number, since it uses less digits than its factorization.

2342342430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2342342430 is about 48397.7523238425. The cubic root of 2342342430 is about 1328.0572442149.

Adding to 2342342430 its reverse (342432432), we get a palindrome (2684774862).

The spelling of 2342342430 in words is "two billion, three hundred forty-two million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 271 274 411 542 685 701 813 822 1233 1355 1370 1402 1626 2055 2103 2439 2466 2710 3505 4065 4110 4206 4878 6165 6309 7010 8130 10515 12195 12330 12618 21030 24390 31545 37127 63090 74254 96037 111381 185635 189971 192074 222762 288111 334143 371270 379942 480185 556905 569913 576222 668286 864333 949855 960370 1113810 1139826 1440555 1670715 1709739 1728666 1899710 2849565 2881110 3341430 3419478 4321665 5699130 8548695 8643330 17097390 26026027 52052054 78078081 130130135 156156162 234234243 260260270 390390405 468468486 780780810 1171171215 2342342430