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234033340240 = 2457417916679
BaseRepresentation
bin1101100111110101111…
…0010101111101010000
3211101002012000111112101
43121331132111331100
512313300013341430
6255302522410144
722623364366210
oct3317536257520
9741065014471
10234033340240
11902867a0477
1239435360954
13190b91aa11b
14b48207c240
15614b20bdca
hex367d795f50

234033340240 has 40 divisors (see below), whose sum is σ = 621860019840. Its totient is φ = 80240002176.

The previous prime is 234033340223. The next prime is 234033340273. The reversal of 234033340240 is 42043330432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 234033340199 and 234033340208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208957780 + ... + 208958899.

It is an arithmetic number, because the mean of its divisors is an integer number (15546500496).

Almost surely, 2234033340240 is an apocalyptic number.

234033340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234033340240 is an abundant number, since it is smaller than the sum of its proper divisors (387826679600).

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

234033340240 is a wasteful number, since it uses less digits than its factorization.

234033340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417916699 (or 417916693 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 234033340240 its reverse (42043330432), we get a palindrome (276076670672).

The spelling of 234033340240 in words is "two hundred thirty-four billion, thirty-three million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 417916679 835833358 1671666716 2089583395 2925416753 3343333432 4179166790 5850833506 6686666864 8358333580 11701667012 14627083765 16716667160 23403334024 29254167530 33433334320 46806668048 58508335060 117016670120 234033340240