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3454091472 = 2431319291337
BaseRepresentation
bin1100110111100001…
…0100000011010000
322220201111000201210
43031320110003100
524033221411342
61330425100120
7151411202346
oct31570240320
98821430653
103454091472
111512821057
12804927640
134307b4610
1424aa4b996
1515338e79c
hexcde140d0

3454091472 has 80 divisors (see below), whose sum is σ = 10115255360. Its totient is φ = 1006857216.

The previous prime is 3454091441. The next prime is 3454091489. The reversal of 3454091472 is 2741904543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3454091472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133813 + ... + 157524.

It is an arithmetic number, because the mean of its divisors is an integer number (126440692).

Almost surely, 23454091472 is an apocalyptic number.

It is an amenable number.

3454091472 is an abundant number, since it is smaller than the sum of its proper divisors (6661163888).

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

3454091472 is a wasteful number, since it uses less digits than its factorization.

3454091472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291380 (or 291374 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3454091472 is about 58771.5192248763. The cubic root of 3454091472 is about 1511.6268990669.

The spelling of 3454091472 in words is "three billion, four hundred fifty-four million, ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 291337 582674 874011 1165348 1748022 2330696 3496044 3787381 4661392 5535403 6992088 7574762 11070806 11362143 13984176 15149524 16606209 22141612 22724286 30299048 33212418 44283224 45448572 60598096 66424836 71960239 88566448 90897144 132849672 143920478 181794288 215880717 265699344 287840956 431761434 575681912 863522868 1151363824 1727045736 3454091472