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335535420 = 2235112113409
BaseRepresentation
bin10011111111111…
…101110100111100
3212101100222001210
4103333331310330
51141344113140
653143404420
711213001243
oct2377756474
9771328053
10335535420
11162445800
1294453710
135469048c
14327c395a
151e6ccd80
hex13ffdd3c

335535420 has 144 divisors (see below), whose sum is σ = 1044358560. Its totient is φ = 80424960.

The previous prime is 335535377. The next prime is 335535437. The reversal of 335535420 is 24535533.

335535420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3355354202 = 225168036149152800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820176 + ... + 820584.

It is an arithmetic number, because the mean of its divisors is an integer number (7252490).

Almost surely, 2335535420 is an apocalyptic number.

335535420 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 335535420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522179280).

335535420 is an abundant number, since it is smaller than the sum of its proper divisors (708823140).

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

335535420 is a wasteful number, since it uses less digits than its factorization.

335535420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 335535420 is about 18317.6259378774. The cubic root of 335535420 is about 694.8847660163.

The spelling of 335535420 in words is "three hundred thirty-five million, five hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 121 132 165 220 226 242 330 339 363 409 452 484 565 605 660 678 726 818 1130 1210 1227 1243 1356 1452 1636 1695 1815 2045 2260 2420 2454 2486 3390 3630 3729 4090 4499 4908 4972 6135 6215 6780 7260 7458 8180 8998 12270 12430 13497 13673 14916 17996 18645 22495 24540 24860 26994 27346 37290 41019 44990 46217 49489 53988 54692 67485 68365 74580 82038 89980 92434 98978 134970 136730 138651 148467 164076 184868 197956 205095 231085 247445 269940 273460 277302 296934 410190 462170 494890 508387 554604 593868 693255 742335 820380 924340 989780 1016774 1386510 1484670 1525161 2033548 2541935 2773020 2969340 3050322 5083870 5592257 6100644 7625805 10167740 11184514 15251610 16776771 22369028 27961285 30503220 33553542 55922570 67107084 83883855 111845140 167767710 335535420