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234321333440 = 2651973527941
BaseRepresentation
bin1101101000111010100…
…0111100110011000000
3211101211020221001221012
43122032220330303000
512314342230132230
6255351251220052
722633462320425
oct3321650746300
9741736831835
10234321333440
1190414313a87
12394b58a7628
1319133a62abc
14b4ac407d4c
156166648395
hex368ea3ccc0

234321333440 has 112 divisors (see below), whose sum is σ = 595391869920. Its totient is φ = 87578910720.

The previous prime is 234321333409. The next prime is 234321333461. The reversal of 234321333440 is 44333123432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 234321333397 and 234321333406.

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, 179870 + ... + 707810.

Almost surely, 2234321333440 is an apocalyptic number.

234321333440 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 234321333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297695934960).

234321333440 is an abundant number, since it is smaller than the sum of its proper divisors (361070536480).

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

234321333440 is a wasteful number, since it uses less digits than its factorization.

234321333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528050 (or 528040 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 234321333440 its reverse (44333123432), we get a palindrome (278654456872).

The spelling of 234321333440 in words is "two hundred thirty-four billion, three hundred twenty-one million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 73 76 80 95 146 152 160 190 292 304 320 365 380 584 608 730 760 1168 1216 1387 1460 1520 2336 2774 2920 3040 4672 5548 5840 6080 6935 11096 11680 13870 22192 23360 27740 44384 55480 88768 110960 221920 443840 527941 1055882 2111764 2639705 4223528 5279410 8447056 10030879 10558820 16894112 20061758 21117640 33788224 38539693 40123516 42235280 50154395 77079386 80247032 84470560 100308790 154158772 160494064 168941120 192698465 200617580 308317544 320988128 385396930 401235160 616635088 641976256 732254167 770793860 802470320 1233270176 1464508334 1541587720 1604940640 2466540352 2929016668 3083175440 3209881280 3661270835 5858033336 6166350880 7322541670 11716066672 12332701760 14645083340 23432133344 29290166680 46864266688 58580333360 117160666720 234321333440