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234930284032 = 2937103120401
BaseRepresentation
bin1101101011001011101…
…1111010011000000000
3211110101200202222002211
43122302323322120000
512322114123042112
6255531523151504
722654535315533
oct3326273723000
9743350688084
10234930284032
11906a7025634
1239645815594
13191ccc736b2
14b529240a1a
15619ed330a7
hex36b2efa600

234930284032 has 80 divisors (see below), whose sum is σ = 486772764192. Its totient is φ = 113179852800.

The previous prime is 234930284023. The next prime is 234930284059. The reversal of 234930284032 is 230482039432.

234930284032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1891032 + ... + 2011432.

Almost surely, 2234930284032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234930284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243386382096).

234930284032 is an abundant number, since it is smaller than the sum of its proper divisors (251842480160).

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

234930284032 is a wasteful number, since it uses less digits than its factorization.

234930284032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120559 (or 120543 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 234930284032 in words is "two hundred thirty-four billion, nine hundred thirty million, two hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 103 128 148 206 256 296 412 512 592 824 1184 1648 2368 3296 3811 4736 6592 7622 9472 13184 15244 18944 26368 30488 52736 60976 120401 121952 240802 243904 481604 487808 963208 975616 1926416 1951232 3852832 4454837 7705664 8909674 12401303 15411328 17819348 24802606 30822656 35638696 49605212 61645312 71277392 99210424 142554784 198420848 285109568 396841696 458848211 570219136 793683392 917696422 1140438272 1587366784 1835392844 2280876544 3174733568 3670785688 6349467136 7341571376 14683142752 29366285504 58732571008 117465142016 234930284032