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3454234720 = 25543539473
BaseRepresentation
bin1100110111100011…
…0111000001100000
322220201202022020021
43031320313001200
524033241002340
61330432123224
7151412340106
oct31570670140
98821668207
103454234720
111512909742
12804996514
13430834891
1424aa87c76
151533bbe4a
hexcde37060

3454234720 has 96 divisors (see below), whose sum is σ = 8508864672. Its totient is φ = 1323958272.

The previous prime is 3454234717. The next prime is 3454234723. The reversal of 3454234720 is 274324543.

It is an interprime number because it is at equal distance from previous prime (3454234717) and next prime (3454234723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454234723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359904 + ... + 369376.

It is an arithmetic number, because the mean of its divisors is an integer number (88634007).

Almost surely, 23454234720 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 3454234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254432336).

3454234720 is an abundant number, since it is smaller than the sum of its proper divisors (5054629952).

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

3454234720 is a wasteful number, since it uses less digits than its factorization.

3454234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 3454234720 is about 58772.7378977703. The cubic root of 3454234720 is about 1511.6477954964.

The spelling of 3454234720 in words is "three billion, four hundred fifty-four million, two hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 53 80 86 106 160 172 212 215 265 344 424 430 530 688 848 860 1060 1376 1696 1720 2120 2279 3440 4240 4558 6880 8480 9116 9473 11395 18232 18946 22790 36464 37892 45580 47365 72928 75784 91160 94730 151568 182320 189460 303136 364640 378920 407339 502069 757840 814678 1004138 1515680 1629356 2008276 2036695 2510345 3258712 4016552 4073390 5020690 6517424 8033104 8146780 10041380 13034848 16066208 16293560 20082760 21588967 32587120 40165520 43177934 65174240 80331040 86355868 107944835 172711736 215889670 345423472 431779340 690846944 863558680 1727117360 3454234720