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3215340432 = 2432294991543
BaseRepresentation
bin1011111110100110…
…0011001110010000
322022002020012212200
42333221203032100
523041111343212
61251015523200
7142451641233
oct27751431620
98262205780
103215340432
1113aaa80947
12758989500
133c31b0105
1422705d41a
1513c42d6dc
hexbfa63390

3215340432 has 120 divisors (see below), whose sum is σ = 9333480000. Its totient is φ = 1032079104.

The previous prime is 3215340431. The next prime is 3215340433. The reversal of 3215340432 is 2340435123.

It is an interprime number because it is at equal distance from previous prime (3215340431) and next prime (3215340433).

It is a junction number, because it is equal to n+sod(n) for n = 3215340396 and 3215340405.

It is not an unprimeable number, because it can be changed into a prime (3215340431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2083053 + ... + 2084595.

It is an arithmetic number, because the mean of its divisors is an integer number (77779000).

Almost surely, 23215340432 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 3215340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666740000).

3215340432 is an abundant number, since it is smaller than the sum of its proper divisors (6118139568).

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

3215340432 is a wasteful number, since it uses less digits than its factorization.

3215340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3215340432 is about 56703.9719243723. The cubic root of 3215340432 is about 1475.9636230487.

Adding to 3215340432 its reverse (2340435123), we get a palindrome (5555775555).

The spelling of 3215340432 in words is "three billion, two hundred fifteen million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 499 522 696 998 1044 1392 1497 1543 1996 2088 2994 3086 3992 4176 4491 4629 5988 6172 7984 8982 9258 11976 12344 13887 14471 17964 18516 23952 24688 27774 28942 35928 37032 43413 44747 55548 57884 71856 74064 86826 89494 111096 115768 130239 134241 173652 178988 222192 231536 260478 268482 347304 357976 402723 520956 536964 694608 715952 769957 805446 1041912 1073928 1539914 1610892 2083824 2147856 2309871 3079828 3221784 4619742 6159656 6443568 6929613 9239484 12319312 13859226 18478968 22328753 27718452 36957936 44657506 55436904 66986259 89315012 110873808 133972518 178630024 200958777 267945036 357260048 401917554 535890072 803835108 1071780144 1607670216 3215340432