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3321434032 = 247229347421
BaseRepresentation
bin1100010111111001…
…0000111110110000
322120110212022221021
43011332100332300
523300241342112
61305325505224
7145210503100
oct30576207660
98513768837
103321434032
111454954604
12788412214
1340c1783a7
14237199200
151468d8907
hexc5f90fb0

3321434032 has 120 divisors (see below), whose sum is σ = 7784836560. Its totient is φ = 1367170560.

The previous prime is 3321434027. The next prime is 3321434033. The reversal of 3321434032 is 2304341233.

It is a super-2 number, since 2×33214340322 = 22063848057855554048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321433988 and 3321434006.

It is not an unprimeable number, because it can be changed into a prime (3321434033) 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, 7889182 + ... + 7889602.

It is an arithmetic number, because the mean of its divisors is an integer number (64873638).

Almost surely, 23321434032 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 3321434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892418280).

3321434032 is an abundant number, since it is smaller than the sum of its proper divisors (4463402528).

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

3321434032 is a wasteful number, since it uses less digits than its factorization.

3321434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3321434032 is about 57631.8838144304. The cubic root of 3321434032 is about 1492.0219433411.

Adding to 3321434032 its reverse (2304341233), we get a palindrome (5625775265).

The spelling of 3321434032 in words is "three billion, three hundred twenty-one million, four hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 347 392 406 421 464 694 784 812 842 1388 1421 1624 1684 2429 2776 2842 2947 3248 3368 4858 5552 5684 5894 6736 9716 10063 11368 11788 12209 17003 19432 20126 20629 22736 23576 24418 34006 38864 40252 41258 47152 48836 68012 70441 80504 82516 85463 97672 136024 140882 146087 161008 165032 170926 195344 272048 281764 292174 330064 341852 493087 563528 584348 598241 683704 986174 1022609 1127056 1168696 1196482 1367408 1972348 2045218 2337392 2392964 3944696 4090436 4236523 4785928 7158263 7889392 8180872 8473046 9571856 14316526 16361744 16946092 28633052 29655661 33892184 57266104 59311322 67784368 114532208 118622644 207589627 237245288 415179254 474490576 830358508 1660717016 3321434032