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2343431000 = 23533137487
BaseRepresentation
bin1000101110101101…
…1110101101011000
320001022120121222202
42023223132231120
514244404243000
61024311505332
7112033556231
oct21353365530
96038517882
102343431000
11aa2895439
12554988248
132b4670581
14183336088
15daaeedd5
hex8badeb58

2343431000 has 64 divisors (see below), whose sum is σ = 5501882880. Its totient is φ = 934252800.

The previous prime is 2343430993. The next prime is 2343431029. The reversal of 2343431000 is 1343432.

It is a super-2 number, since 2×23434310002 = 10983337703522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309257 + ... + 316743.

It is an arithmetic number, because the mean of its divisors is an integer number (85966920).

Almost surely, 22343431000 is an apocalyptic number.

2343431000 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 2343431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750941440).

2343431000 is an abundant number, since it is smaller than the sum of its proper divisors (3158451880).

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

2343431000 is a wasteful number, since it uses less digits than its factorization.

2343431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2343431000 is about 48408.9970976470. The cubic root of 2343431000 is about 1328.2629441957.

Adding to 2343431000 its reverse (1343432), we get a palindrome (2344774432).

The spelling of 2343431000 in words is "two billion, three hundred forty-three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 313 500 626 1000 1252 1565 2504 3130 6260 7487 7825 12520 14974 15650 29948 31300 37435 39125 59896 62600 74870 78250 149740 156500 187175 299480 313000 374350 748700 935875 1497400 1871750 2343431 3743500 4686862 7487000 9373724 11717155 18747448 23434310 46868620 58585775 93737240 117171550 234343100 292928875 468686200 585857750 1171715500 2343431000