Search a number
-
+
335500440 = 2335111714951
BaseRepresentation
bin10011111111110…
…101010010011000
3212101022012002020
4103333311102120
51141342003230
653142534440
711212464252
oct2377652230
9771265066
10335500440
111624214a0
1294437420
135467a592
14327b4cd2
151e6c2810
hex13ff5498

335500440 has 128 divisors (see below), whose sum is σ = 1162667520. Its totient is φ = 76544000.

The previous prime is 335500411. The next prime is 335500447. The reversal of 335500440 is 44005533.

It is a happy number.

It is a super-2 number, since 2×3355004402 = 225121090480387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 335500440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335500447) by changing a digit.

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, 14965 + ... + 29915.

It is an arithmetic number, because the mean of its divisors is an integer number (9083340).

Almost surely, 2335500440 is an apocalyptic number.

335500440 is a gapful number since it is divisible by the number (30) 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 335500440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581333760).

335500440 is an abundant number, since it is smaller than the sum of its proper divisors (827167080).

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

335500440 is a wasteful number, since it uses less digits than its factorization.

335500440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993 (or 14989 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 335500440 is about 18316.6710949343. The cubic root of 335500440 is about 694.8606176330.

Adding to 335500440 its reverse (44005533), we get a palindrome (379505973).

The spelling of 335500440 in words is "three hundred thirty-five million, five hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 14951 22440 29902 44853 59804 74755 89706 119608 149510 164461 179412 224265 254167 299020 328922 358824 448530 493383 508334 598040 657844 762501 822305 897060 986766 1016668 1270835 1315688 1525002 1644610 1794120 1973532 2033336 2466915 2541670 2795837 3050004 3289220 3812505 3947064 4933830 5083340 5591674 6100008 6578440 7625010 8387511 9867660 10166680 11183348 13979185 15250020 16775022 19735320 22366696 27958370 30500040 33550044 41937555 55916740 67100088 83875110 111833480 167750220 335500440