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3213491346 = 2331361101743
BaseRepresentation
bin1011111110001001…
…1111110010010010
322021221202021102000
42333202133302102
523040123210341
61250512134430
7142430140302
oct27742376222
98257667360
103213491346
1113a9a2867a
12758237416
133c29b3590
14226adb602
1513c1b58b6
hexbf89fc92

3213491346 has 128 divisors (see below), whose sum is σ = 7904494080. Its totient is φ = 961632000.

The previous prime is 3213491339. The next prime is 3213491353. The reversal of 3213491346 is 6431943123.

It is an interprime number because it is at equal distance from previous prime (3213491339) and next prime (3213491353).

It is a self number, because there is not a number n which added to its sum of digits gives 3213491346.

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 63 ways as a sum of consecutive naturals, for example, 4324651 + ... + 4325393.

It is an arithmetic number, because the mean of its divisors is an integer number (61753860).

Almost surely, 23213491346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213491346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952247040).

3213491346 is an abundant number, since it is smaller than the sum of its proper divisors (4691002734).

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

3213491346 is a wasteful number, since it uses less digits than its factorization.

3213491346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3213491346 is about 56687.6648487129. The cubic root of 3213491346 is about 1475.6806351800.

The spelling of 3213491346 in words is "three billion, two hundred thirteen million, four hundred ninety-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 101 117 122 183 202 234 303 351 366 549 606 702 743 793 909 1098 1313 1486 1586 1647 1818 2229 2379 2626 2727 3294 3939 4458 4758 5454 6161 6687 7137 7878 9659 11817 12322 13374 14274 18483 19318 20061 21411 23634 28977 35451 36966 40122 42822 45323 55449 57954 70902 75043 80093 86931 90646 110898 135969 150086 160186 166347 173862 225129 240279 260793 271938 332694 407907 450258 480558 521586 589199 675387 720837 815814 975559 1178398 1223721 1350774 1441674 1767597 1951118 2026161 2162511 2447442 2926677 3535194 4052322 4325022 4577623 5302791 5853354 8780031 9155246 10605582 13732869 15908373 17560062 26340093 27465738 31816746 41198607 52680186 59509099 82397214 119018198 123595821 178527297 247191642 357054594 535581891 1071163782 1606745673 3213491346