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3268939248 = 243317617297
BaseRepresentation
bin1100001011011000…
…0000110111110000
322102211002022122000
43002312000313300
523143322023443
61300212414000
7144002345061
oct30266006760
98384068560
103268939248
11142825a493
12772917300
134013285a3
14230212568
15141eb98d3
hexc2d80df0

3268939248 has 160 divisors (see below), whose sum is σ = 10099264320. Its totient is φ = 1008599040.

The previous prime is 3268939241. The next prime is 3268939259. The reversal of 3268939248 is 8429398623.

It is a happy number.

It is a super-2 number, since 2×32689392482 = 21371927614229611008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3268939194 and 3268939203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268939241) 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, 444336 + ... + 451632.

It is an arithmetic number, because the mean of its divisors is an integer number (63120402).

Almost surely, 23268939248 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 3268939248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049632160).

3268939248 is an abundant number, since it is smaller than the sum of its proper divisors (6830325072).

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

3268939248 is a wasteful number, since it uses less digits than its factorization.

3268939248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392 (or 7380 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3268939248 is about 57174.6381536429. The cubic root of 3268939248 is about 1484.1197681131.

The spelling of 3268939248 in words is "three billion, two hundred sixty-eight million, nine hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 61 68 72 102 108 122 136 144 153 183 204 216 244 272 306 366 408 432 459 488 549 612 732 816 918 976 1037 1098 1224 1464 1647 1836 2074 2196 2448 2928 3111 3294 3672 4148 4392 6222 6588 7297 7344 8296 8784 9333 12444 13176 14594 16592 18666 21891 24888 26352 27999 29188 37332 43782 49776 55998 58376 65673 74664 87564 111996 116752 124049 131346 149328 175128 197019 223992 248098 262692 350256 372147 394038 445117 447984 496196 525384 744294 788076 890234 992392 1050768 1116441 1335351 1488588 1576152 1780468 1984784 2232882 2670702 2977176 3152304 3349323 3560936 4006053 4465764 5341404 5954352 6698646 7121872 7566989 8012106 8931528 10682808 12018159 13397292 15133978 16024212 17863056 21365616 22700967 24036318 26794584 30267956 32048424 45401934 48072636 53589168 60535912 64096848 68102901 90803868 96145272 121071824 136205802 181607736 192290544 204308703 272411604 363215472 408617406 544823208 817234812 1089646416 1634469624 3268939248