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3134208 = 28371153
BaseRepresentation
bin1011111101001100000000
312220020022210
423331030000
51300243313
6151102120
735432430
oct13751400
95806283
103134208
111850860
121071940
1385977c
145b82c0
1541d9c3
hex2fd300

3134208 has 144 divisors (see below), whose sum is σ = 10596096. Its totient is φ = 798720.

The previous prime is 3134207. The next prime is 3134213. The reversal of 3134208 is 8024313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3134203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59110 + ... + 59162.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

Almost surely, 23134208 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 3134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048).

3134208 is an abundant number, since it is smaller than the sum of its proper divisors (7461888).

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

3134208 is a wasteful number, since it uses less digits than its factorization.

3134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3134208 is about 1770.3694529674. The cubic root of 3134208 is about 146.3443426642.

The spelling of 3134208 in words is "three million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 53 56 64 66 77 84 88 96 106 112 128 132 154 159 168 176 192 212 224 231 256 264 308 318 336 352 371 384 424 448 462 528 583 616 636 672 704 742 768 848 896 924 1056 1113 1166 1232 1272 1344 1408 1484 1696 1749 1792 1848 2112 2226 2332 2464 2544 2688 2816 2968 3392 3498 3696 4081 4224 4452 4664 4928 5088 5376 5936 6784 6996 7392 8162 8448 8904 9328 9856 10176 11872 12243 13568 13992 14784 16324 17808 18656 19712 20352 23744 24486 27984 29568 32648 35616 37312 40704 47488 48972 55968 59136 65296 71232 74624 94976 97944 111936 130592 142464 149248 195888 223872 261184 284928 391776 447744 522368 783552 1044736 1567104 3134208