Search a number
-
+
3835217214 = 233433534679
BaseRepresentation
bin1110010010011000…
…1100010100111110
3100220021122012222000
43210212030110332
530323303422324
61432322003130
7164016544203
oct34446142476
910807565860
103835217214
111698975504
128b04a64a6
13491747cca
142854dbcaa
15176a759c9
hexe498c53e

3835217214 has 64 divisors (see below), whose sum is σ = 8747481600. Its totient is φ = 1244871936.

The previous prime is 3835217213. The next prime is 3835217219. The reversal of 3835217214 is 4127125383.

3835217214 is a `hidden beast` number, since 383 + 52 + 17 + 214 = 666.

3835217214 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835217213) 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, 817327 + ... + 822005.

It is an arithmetic number, because the mean of its divisors is an integer number (136679400).

Almost surely, 23835217214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835217214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373740800).

3835217214 is an abundant number, since it is smaller than the sum of its proper divisors (4912264386).

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

3835217214 is a wasteful number, since it uses less digits than its factorization.

3835217214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5080 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3835217214 is about 61929.1305768134. The cubic root of 3835217214 is about 1565.2966483701.

The spelling of 3835217214 in words is "three billion, eight hundred thirty-five million, two hundred seventeen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 353 387 706 774 1059 1161 2118 2322 3177 4679 6354 9358 9531 14037 15179 19062 28074 30358 42111 45537 84222 91074 126333 136611 201197 252666 273222 402394 409833 603591 819666 1207182 1651687 1810773 3303374 3621546 4955061 5432319 9910122 10864638 14865183 29730366 44595549 71022541 89191098 142045082 213067623 426135246 639202869 1278405738 1917608607 3835217214