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2342003440 = 24574798731
BaseRepresentation
bin1000101110011000…
…0010001011110000
320001012220002202011
42023212002023300
514244023102230
61024221132304
7112015462240
oct21346021360
96035802664
102342003440
11aa1aaa937
125543ba094
132b429086a
14183083b20
15da91be2a
hex8b9822f0

2342003440 has 80 divisors (see below), whose sum is σ = 6236743680. Its totient is φ = 801204480.

The previous prime is 2342003423. The next prime is 2342003449. The reversal of 2342003440 is 443002432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23420034402 = 10969960225943667200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342003449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263875 + ... + 272605.

It is an arithmetic number, because the mean of its divisors is an integer number (77959296).

Almost surely, 22342003440 is an apocalyptic number.

2342003440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118371840).

2342003440 is an abundant number, since it is smaller than the sum of its proper divisors (3894740240).

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

2342003440 is a wasteful number, since it uses less digits than its factorization.

2342003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2342003440 is about 48394.2500716769. The cubic root of 2342003440 is about 1327.9931744702.

Adding to 2342003440 its reverse (443002432), we get a palindrome (2785005872).

The spelling of 2342003440 in words is "two billion, three hundred forty-two million, three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 479 560 958 1916 2395 3353 3832 4790 6706 7664 8731 9580 13412 16765 17462 19160 26824 33530 34924 38320 43655 53648 61117 67060 69848 87310 122234 134120 139696 174620 244468 268240 305585 349240 488936 611170 698480 977872 1222340 2444680 4182149 4889360 8364298 16728596 20910745 29275043 33457192 41821490 58550086 66914384 83642980 117100172 146375215 167285960 234200344 292750430 334571920 468400688 585500860 1171001720 2342003440