Search a number
-
+
1354742250 = 235329199313
BaseRepresentation
bin101000010111111…
…1011100111101010
310111102012000222220
41100233323213222
510233303223000
6342232454510
745400055601
oct12057734752
93442160886
101354742250
116357979a4
1231984a436
13187893a44
14cbcd0a38
157de051a0
hex50bfb9ea

1354742250 has 128 divisors (see below), whose sum is σ = 3526848000. Its totient is φ = 345945600.

The previous prime is 1354742183. The next prime is 1354742269. The reversal of 1354742250 is 522474531.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 4328094 + ... + 4328406.

It is an arithmetic number, because the mean of its divisors is an integer number (27553500).

Almost surely, 21354742250 is an apocalyptic number.

1354742250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354742250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763424000).

1354742250 is an abundant number, since it is smaller than the sum of its proper divisors (2172105750).

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

1354742250 is a wasteful number, since it uses less digits than its factorization.

1354742250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 1354742250 is about 36806.8234163178. The cubic root of 1354742250 is about 1106.5020556237.

The spelling of 1354742250 in words is "one billion, three hundred fifty-four million, seven hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 199 250 290 313 375 398 435 597 626 725 750 870 939 995 1194 1450 1565 1878 1990 2175 2985 3130 3625 4350 4695 4975 5771 5970 7250 7825 9077 9390 9950 10875 11542 14925 15650 17313 18154 21750 23475 24875 27231 28855 29850 34626 39125 45385 46950 49750 54462 57710 62287 74625 78250 86565 90770 117375 124574 136155 144275 149250 173130 186861 226925 234750 272310 288550 311435 373722 432825 453850 622870 680775 721375 865650 934305 1134625 1361550 1442750 1557175 1806323 1868610 2164125 2269250 3114350 3403875 3612646 4328250 4671525 5418969 6807750 7785875 9031615 9343050 10837938 15571750 18063230 23357625 27094845 45158075 46715250 54189690 90316150 135474225 225790375 270948450 451580750 677371125 1354742250