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3934250208 = 253275336821
BaseRepresentation
bin1110101001111111…
…1110010011100000
3101011011222121200200
43222133332103200
531024132001313
61450220345200
7166331401140
oct35237762340
911134877620
103934250208
111739866459
129196a5200
134a9110605
1429471a920
151805d8b73
hexea7fe4e0

3934250208 has 144 divisors (see below), whose sum is σ = 13027918176. Its totient is φ = 1102832640.

The previous prime is 3934250183. The next prime is 3934250237. The reversal of 3934250208 is 8020524393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88438 + ... + 125258.

It is an arithmetic number, because the mean of its divisors is an integer number (90471654).

Almost surely, 23934250208 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 3934250208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513959088).

3934250208 is an abundant number, since it is smaller than the sum of its proper divisors (9093667968).

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

3934250208 is a wasteful number, since it uses less digits than its factorization.

3934250208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36897 (or 36886 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3934250208 is about 62723.6016823014. The cubic root of 3934250208 is about 1578.6553490497.

The spelling of 3934250208 in words is "three billion, nine hundred thirty-four million, two hundred fifty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 36821 53424 73642 106848 110463 147284 220926 257747 294568 331389 441852 515494 589136 662778 773241 883704 1030988 1178272 1325556 1546482 1767408 1951513 2061976 2319723 2651112 3092964 3534816 3903026 4123952 4639446 5302224 5854539 6185928 7806052 8247904 9278892 10604448 11709078 12371856 13660591 15612104 17563617 18557784 23418156 24743712 27321182 31224208 35127234 37115568 40981773 46836312 54642364 62448416 70254468 74231136 81963546 93672624 109284728 122945319 140508936 163927092 187345248 218569456 245890638 281017872 327854184 437138912 491781276 562035744 655708368 983562552 1311416736 1967125104 3934250208