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3368935900 = 22521117257701
BaseRepresentation
bin1100100011001101…
…1110000111011100
322200210020200020201
43020303132013130
523344421422100
61314143553244
7146325324361
oct31063360734
98623220221
103368935900
111479749450
127a02bb824
13418c6a6c5
1423d602468
1514ab6d36a
hexc8cde1dc

3368935900 has 144 divisors (see below), whose sum is σ = 8489269152. Its totient is φ = 1146880000.

The previous prime is 3368935897. The next prime is 3368935919. The reversal of 3368935900 is 95398633.

It is a super-2 number, since 2×33689359002 = 22699458196617620000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4805550 + ... + 4806250.

It is an arithmetic number, because the mean of its divisors is an integer number (58953258).

Almost surely, 23368935900 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 3368935900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244634576).

3368935900 is an abundant number, since it is smaller than the sum of its proper divisors (5120333252).

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

3368935900 is a wasteful number, since it uses less digits than its factorization.

3368935900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The square root of 3368935900 is about 58042.5352650968. The cubic root of 3368935900 is about 1499.1010762131.

The spelling of 3368935900 in words is "three billion, three hundred sixty-eight million, nine hundred thirty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 257 275 340 374 425 514 550 701 748 850 935 1028 1100 1285 1402 1700 1870 2570 2804 2827 3505 3740 4369 4675 5140 5654 6425 7010 7711 8738 9350 11308 11917 12850 14020 14135 15422 17476 17525 18700 21845 23834 25700 28270 30844 35050 38555 43690 47668 48059 56540 59585 70100 70675 77110 87380 96118 109225 119170 131087 141350 154220 180157 192236 192775 218450 238340 240295 262174 282700 297925 360314 385550 436900 480590 524348 595850 655435 720628 771100 900785 961180 1191700 1201475 1310870 1801570 1981727 2402950 2621740 3062669 3277175 3603140 3963454 4503925 4805900 6125338 6554350 7926908 9007850 9908635 12250676 13108700 15313345 18015700 19817270 30626690 33689359 39634540 49543175 61253380 67378718 76566725 99086350 134757436 153133450 168446795 198172700 306266900 336893590 673787180 842233975 1684467950 3368935900