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335275740 = 223351933217
BaseRepresentation
bin10011111110111…
…110011011011100
3212100212202212000
4103332332123130
51141312310430
653134042300
711210540202
oct2376763334
9770782760
10335275740
11162288698
1294349390
13545cc217
1432757072
151e67ae60
hex13fbe6dc

335275740 has 96 divisors (see below), whose sum is σ = 1048810560. Its totient is φ = 88915968.

The previous prime is 335275711. The next prime is 335275741. The reversal of 335275740 is 47572533.

335275740 is a `hidden beast` number, since 33 + 52 + 7 + 574 + 0 = 666.

It is a super-2 number, since 2×3352757402 = 224819643665095200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 335275695 and 335275704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335275741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102612 + ... + 105828.

It is an arithmetic number, because the mean of its divisors is an integer number (10925110).

Almost surely, 2335275740 is an apocalyptic number.

335275740 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 335275740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524405280).

335275740 is an abundant number, since it is smaller than the sum of its proper divisors (713534820).

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

335275740 is a wasteful number, since it uses less digits than its factorization.

335275740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 335275740 is about 18310.5363110970. The cubic root of 335275740 is about 694.7054563355.

The spelling of 335275740 in words is "three hundred thirty-five million, two hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 193 270 386 540 579 772 965 1158 1737 1930 2316 2895 3217 3474 3860 5211 5790 6434 6948 8685 9651 10422 11580 12868 16085 17370 19302 20844 26055 28953 32170 34740 38604 48255 52110 57906 64340 86859 96510 104220 115812 144765 173718 193020 289530 347436 434295 579060 620881 868590 1241762 1737180 1862643 2483524 3104405 3725286 5587929 6208810 7450572 9313215 11175858 12417620 16763787 18626430 22351716 27939645 33527574 37252860 55879290 67055148 83818935 111758580 167637870 335275740