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2344041400 = 2352191573929
BaseRepresentation
bin1000101110110111…
…0011101110111000
320001100201122022011
42023231303232320
514300033311100
61024332535304
7112042010641
oct21355635670
96040648264
102344041400
11aa3171aa8
12555021534
132b482535c
141834546c8
15dabc0bba
hex8bb73bb8

2344041400 has 96 divisors (see below), whose sum is σ = 5774742000. Its totient is φ = 882385920.

The previous prime is 2344041383. The next prime is 2344041407. The reversal of 2344041400 is 41404432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344041407) 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 23 ways as a sum of consecutive naturals, for example, 594636 + ... + 598564.

Almost surely, 22344041400 is an apocalyptic number.

2344041400 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 2344041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887371000).

2344041400 is an abundant number, since it is smaller than the sum of its proper divisors (3430700600).

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

2344041400 is a wasteful number, since it uses less digits than its factorization.

2344041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2344041400 is about 48415.3013003121. The cubic root of 2344041400 is about 1328.3782596337.

Adding to 2344041400 its reverse (41404432), we get a palindrome (2385445832).

The spelling of 2344041400 in words is "two billion, three hundred forty-four million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 157 190 200 314 380 475 628 760 785 950 1256 1570 1900 2983 3140 3800 3925 3929 5966 6280 7850 7858 11932 14915 15700 15716 19645 23864 29830 31400 31432 39290 59660 74575 74651 78580 98225 119320 149150 149302 157160 196450 298300 298604 373255 392900 596600 597208 616853 746510 785800 1233706 1493020 1866275 2467412 2986040 3084265 3732550 4934824 6168530 7465100 11720207 12337060 14930200 15421325 23440414 24674120 30842650 46880828 58601035 61685300 93761656 117202070 123370600 234404140 293005175 468808280 586010350 1172020700 2344041400