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335465442 = 233132379263
BaseRepresentation
bin10011111111101…
…100101111100010
3212101020102002000
4103333230233202
51141334343232
653142104430
711212260234
oct2377545742
9771212060
10335465442
111623a8174
129441b116
1354667680
14327a6254
151e6b727c
hex13fecbe2

335465442 has 128 divisors (see below), whose sum is σ = 851558400. Its totient is φ = 97111872.

The previous prime is 335465401. The next prime is 335465443. The reversal of 335465442 is 244564533.

It is a super-2 number, since 2×3354654422 = 225074125552510728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335465397 and 335465406.

It is not an unprimeable number, because it can be changed into a prime (335465443) by changing a digit.

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, 1275403 + ... + 1275665.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2335465442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335465442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425779200).

335465442 is an abundant number, since it is smaller than the sum of its proper divisors (516092958).

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

335465442 is a wasteful number, since it uses less digits than its factorization.

335465442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 335465442 is about 18315.7157108315. The cubic root of 335465442 is about 694.8364551435.

Subtracting from 335465442 its reverse (244564533), we obtain a palindrome (90900909).

The spelling of 335465442 in words is "three hundred thirty-five million, four hundred sixty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 79 117 138 158 207 234 237 263 299 351 414 474 526 598 621 702 711 789 897 1027 1242 1422 1578 1794 1817 2054 2133 2367 2691 3081 3419 3634 4266 4734 5382 5451 6049 6162 6838 7101 8073 9243 10257 10902 12098 14202 16146 16353 18147 18486 20514 20777 23621 27729 30771 32706 36294 41554 47242 49059 54441 55458 61542 62331 70863 78637 92313 98118 108882 124662 141726 157274 163323 184626 186993 212589 235911 270101 326646 373986 425178 471822 477871 540202 560979 637767 707733 810303 955742 1121958 1275534 1415466 1433613 1620606 2123199 2430909 2867226 4246398 4300839 4861818 6212323 7292727 8601678 12424646 12902517 14585454 18636969 25805034 37273938 55910907 111821814 167732721 335465442