Search a number
-
+
4234054000 = 2453111711321
BaseRepresentation
bin1111110001011110…
…1000100101110000
3101221002010020011211
43330113220211300
532132404212000
61540050245504
7206631602521
oct37427504560
911832106154
104234054000
111883016490
129a1b86894
1352626ccc7
142c247c848
1519baa97ba
hexfc5e8970

4234054000 has 160 divisors (see below), whose sum is σ = 11826689472. Its totient is φ = 1448960000.

The previous prime is 4234053979. The next prime is 4234054021. The reversal of 4234054000 is 4504324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4234053979) and next prime (4234054021).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368340 + ... + 379660.

Almost surely, 24234054000 is an apocalyptic number.

4234054000 is a gapful number since it is divisible by the number (40) 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 4234054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913344736).

4234054000 is an abundant number, since it is smaller than the sum of its proper divisors (7592635472).

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

4234054000 is a wasteful number, since it uses less digits than its factorization.

4234054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4234054000 is about 65069.6088815662. The cubic root of 4234054000 is about 1617.7775244507. Note that the first 3 decimals are identical.

Adding to 4234054000 its reverse (4504324), we get a palindrome (4238558324).

The spelling of 4234054000 in words is "four billion, two hundred thirty-four million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 125 136 170 176 187 200 220 250 272 275 340 374 400 425 440 500 550 680 748 850 880 935 1000 1100 1360 1375 1496 1700 1870 2000 2125 2200 2750 2992 3400 3740 4250 4400 4675 5500 6800 7480 8500 9350 11000 11321 14960 17000 18700 22000 22642 23375 34000 37400 45284 46750 56605 74800 90568 93500 113210 124531 181136 187000 192457 226420 249062 283025 374000 384914 452840 498124 566050 622655 769828 905680 962285 996248 1132100 1245310 1415125 1539656 1924570 1992496 2117027 2264200 2490620 2830250 3079312 3113275 3849140 4234054 4528400 4811425 4981240 5660500 6226550 7698280 8468108 9622850 9962480 10585135 11321000 12453100 15396560 15566375 16936216 19245700 21170270 22642000 24057125 24906200 31132750 33872432 38491400 42340540 48114250 49812400 52925675 62265500 76982800 84681080 96228500 105851350 124531000 169362160 192457000 211702700 249062000 264628375 384914000 423405400 529256750 846810800 1058513500 2117027000 4234054000