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234376415744 = 2910712893319
BaseRepresentation
bin1101101001000111101…
…1000100101000000000
3211101222002120112122112
43122101323010220000
512320000330300434
6255400535554452
722635031443302
oct3322173045000
9741862515575
10234376415744
1190442416149
123951022ba28
13191422aa593
14b4b5865972
15616b3c8dce
hex3691ec4a00

234376415744 has 80 divisors (see below), whose sum is σ = 473180875200. Its totient is φ = 115967975424.

The previous prime is 234376415699. The next prime is 234376415747. The reversal of 234376415744 is 447514673432.

It is a junction number, because it is equal to n+sod(n) for n = 234376415692 and 234376415701.

It is not an unprimeable number, because it can be changed into a prime (234376415747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70614917 + ... + 70618235.

It is an arithmetic number, because the mean of its divisors is an integer number (5914760940).

Almost surely, 2234376415744 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 234376415744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236590437600).

234376415744 is an abundant number, since it is smaller than the sum of its proper divisors (238804459456).

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

234376415744 is a wasteful number, since it uses less digits than its factorization.

234376415744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4717 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 50.

The spelling of 234376415744 in words is "two hundred thirty-four billion, three hundred seventy-six million, four hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1289 1712 2578 3319 3424 5156 6638 6848 10312 13276 13696 20624 26552 27392 41248 53104 54784 82496 106208 137923 164992 212416 275846 329984 355133 424832 551692 659968 710266 849664 1103384 1420532 1699328 2206768 2841064 4278191 4413536 5682128 8556382 8827072 11364256 17112764 17654144 22728512 34225528 35308288 45457024 68451056 70616576 90914048 136902112 181828096 273804224 457766437 547608448 915532874 1095216896 1831065748 2190433792 3662131496 7324262992 14648525984 29297051968 58594103936 117188207872 234376415744