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1234266240 = 27353189233
BaseRepresentation
bin100100110010001…
…0110100010000000
310012000111012222110
41021210112202000
510011433004430
6322250335320
742405042564
oct11144264200
93160435873
101234266240
11583790549
122a542a540
1316893126c
14b9ccd6a4
15735587b0
hex49916880

1234266240 has 256 divisors, whose sum is σ = 4124390400. Its totient is φ = 313589760.

The previous prime is 1234266211. The next prime is 1234266287. The reversal of 1234266240 is 426624321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1234266198 and 1234266207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5297164 + ... + 5297396.

It is an arithmetic number, because the mean of its divisors is an integer number (16110900).

Almost surely, 21234266240 is an apocalyptic number.

1234266240 is a gapful number since it is divisible by the number (10) 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 1234266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

1234266240 is an abundant number, since it is smaller than the sum of its proper divisors (2890124160).

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

1234266240 is a wasteful number, since it uses less digits than its factorization.

1234266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1234266240 is about 35132.1254694332. The cubic root of 1234266240 is about 1072.6786005617.

The spelling of 1234266240 in words is "one billion, two hundred thirty-four million, two hundred sixty-six thousand, two hundred forty".