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3285140328 = 23353135399
BaseRepresentation
bin1100001111001111…
…0100001101101000
322110221120102100000
43003303310031220
523211443442303
61301551543000
7144260142411
oct30363641550
98427512300
103285140328
111436415608
1277822aa60
134047ab822
1423242c808
15143619da3
hexc3cf4368

3285140328 has 96 divisors (see below), whose sum is σ = 9257976000. Its totient is φ = 1091346048.

The previous prime is 3285140303. The next prime is 3285140363. The reversal of 3285140328 is 8230415823.

3285140328 is a `hidden beast` number, since 328 + 5 + 1 + 4 + 0 + 328 = 666.

3285140328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3285140292 and 3285140301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605773 + ... + 611171.

It is an arithmetic number, because the mean of its divisors is an integer number (96437250).

Almost surely, 23285140328 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 3285140328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628988000).

3285140328 is an abundant number, since it is smaller than the sum of its proper divisors (5972835672).

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

3285140328 is a wasteful number, since it uses less digits than its factorization.

3285140328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3285140328 is about 57316.1436944252. The cubic root of 3285140328 is about 1486.5675275128.

The spelling of 3285140328 in words is "three billion, two hundred eighty-five million, one hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 313 324 486 626 648 939 972 1252 1878 1944 2504 2817 3756 5399 5634 7512 8451 10798 11268 16197 16902 21596 22536 25353 32394 33804 43192 48591 50706 64788 67608 76059 97182 101412 129576 145773 152118 194364 202824 291546 304236 388728 437319 583092 608472 874638 1166184 1311957 1689887 1749276 2623914 3379774 3498552 5069661 5247828 6759548 10139322 10495656 13519096 15208983 20278644 30417966 40557288 45626949 60835932 91253898 121671864 136880847 182507796 273761694 365015592 410642541 547523388 821285082 1095046776 1642570164 3285140328