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3381529776 = 243415929123
BaseRepresentation
bin1100100110001110…
…0000110010110000
322201122221111210120
43021203200302300
523411132423101
61315313530240
7146540346252
oct31143406260
98648844716
103381529776
111485870409
127a4573980
1341b759ac1
1424115dcd2
1514bd09b36
hexc98e0cb0

3381529776 has 80 divisors (see below), whose sum is σ = 9100667520. Its totient is φ = 1081008640.

The previous prime is 3381529771. The next prime is 3381529783. The reversal of 3381529776 is 6779251833.

It is a super-2 number, since 2×33815297762 = 22869487251949220352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3381529771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101551 + ... + 130673.

It is an arithmetic number, because the mean of its divisors is an integer number (113758344).

Almost surely, 23381529776 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 3381529776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550333760).

3381529776 is an abundant number, since it is smaller than the sum of its proper divisors (5719137744).

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

3381529776 is a wasteful number, since it uses less digits than its factorization.

3381529776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29234 (or 29228 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 3381529776 is about 58150.9224002509. The cubic root of 3381529776 is about 1500.9667510167.

The spelling of 3381529776 in words is "three billion, three hundred eighty-one million, five hundred twenty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 59 82 118 123 164 177 236 246 328 354 472 492 656 708 944 984 1416 1968 2419 2832 4838 7257 9676 14514 19352 29028 29123 38704 58056 58246 87369 116112 116492 174738 232984 349476 465968 698952 1194043 1397904 1718257 2388086 3436514 3582129 4776172 5154771 6873028 7164258 9552344 10309542 13746056 14328516 19104688 20619084 27492112 28657032 41238168 57314064 70448537 82476336 140897074 211345611 281794148 422691222 563588296 845382444 1127176592 1690764888 3381529776