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199433340 = 22345307401
BaseRepresentation
bin10111110001100…
…01110001111100
3111220021021010000
423320301301330
5402023331330
631442314300
74641104211
oct1370616174
9456237100
10199433340
11a2636247
1256958990
13324193c2
141c6b5b08
1512796560
hexbe31c7c

199433340 has 120 divisors (see below), whose sum is σ = 629232912. Its totient is φ = 52876800.

The previous prime is 199433309. The next prime is 199433407. The reversal of 199433340 is 43334991.

199433340 is a `hidden beast` number, since 199 + 433 + 34 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 199433295 and 199433304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 497140 + ... + 497540.

Almost surely, 2199433340 is an apocalyptic number.

199433340 is a gapful number since it is divisible by the number (10) 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 199433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314616456).

199433340 is an abundant number, since it is smaller than the sum of its proper divisors (429799572).

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

199433340 is a wasteful number, since it uses less digits than its factorization.

199433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 199433340 is about 14122.0869562540. The cubic root of 199433340 is about 584.2507172381.

The spelling of 199433340 in words is "one hundred ninety-nine million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 307 324 401 405 540 614 802 810 921 1203 1228 1535 1604 1620 1842 2005 2406 2763 3070 3609 3684 4010 4605 4812 5526 6015 6140 7218 8020 8289 9210 10827 11052 12030 13815 14436 16578 18045 18420 21654 24060 24867 27630 32481 33156 36090 41445 43308 49734 54135 55260 64962 72180 82890 99468 108270 123107 124335 129924 162405 165780 216540 246214 248670 324810 369321 492428 497340 615535 649620 738642 1107963 1231070 1477284 1846605 2215926 2462140 3323889 3693210 4431852 5539815 6647778 7386420 9971667 11079630 13295556 16619445 19943334 22159260 33238890 39886668 49858335 66477780 99716670 199433340