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335242100 = 2252131157163
BaseRepresentation
bin10011111110110…
…110001101110100
3212100211001201002
4103332312031310
51141310221400
653133222432
711210340134
oct2376661564
9770731632
10335242100
11162265396
1294331a18
13545b9b0b
1432748ac4
151e670ed5
hex13fb6374

335242100 has 72 divisors (see below), whose sum is σ = 742223328. Its totient is φ = 131414400.

The previous prime is 335242087. The next prime is 335242121. The reversal of 335242100 is 1242533.

It is a happy number.

It is a super-2 number, since 2×3352421002 = 224774531224820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056619 + ... + 2056781.

Almost surely, 2335242100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371111664).

335242100 is an abundant number, since it is smaller than the sum of its proper divisors (406981228).

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

335242100 is a wasteful number, since it uses less digits than its factorization.

335242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 335242100 is about 18309.6176912572. The cubic root of 335242100 is about 694.6822210594.

Adding to 335242100 its reverse (1242533), we get a palindrome (336484633).

It can be divided in two parts, 33 and 5242100, that multiplied together give a triangular number (172989300 = T18600).

The spelling of 335242100 in words is "three hundred thirty-five million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 157 163 262 314 326 524 628 652 655 785 815 1310 1570 1630 2620 3140 3260 3275 3925 4075 6550 7850 8150 13100 15700 16300 20567 21353 25591 41134 42706 51182 82268 85412 102364 102835 106765 127955 205670 213530 255910 411340 427060 511820 514175 533825 639775 1028350 1067650 1279550 2056700 2135300 2559100 3352421 6704842 13409684 16762105 33524210 67048420 83810525 167621050 335242100