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3332040084 = 2233233143271
BaseRepresentation
bin1100011010011010…
…1110010110010100
322121012211011201000
43012212232112110
523311000240314
61310345103300
7145366605402
oct30646562624
98535734630
103332040084
11145a93903a
1278ba87b30
1341141ca69
1423875a472
151477d1209
hexc69ae594

3332040084 has 96 divisors (see below), whose sum is σ = 9305210880. Its totient is φ = 1028095200.

The previous prime is 3332040083. The next prime is 3332040211. The reversal of 3332040084 is 4800402333.

3332040084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33320400842 = 22204982242765454112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332040083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55369 + ... + 98639.

It is an arithmetic number, because the mean of its divisors is an integer number (96929280).

Almost surely, 23332040084 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 3332040084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652605440).

3332040084 is an abundant number, since it is smaller than the sum of its proper divisors (5973170796).

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

3332040084 is a wasteful number, since it uses less digits than its factorization.

3332040084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43338 (or 43330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3332040084 is about 57723.8259646742. The cubic root of 3332040084 is about 1493.6083714066.

The spelling of 3332040084 in words is "three billion, three hundred thirty-two million, forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 558 621 713 828 837 1116 1242 1426 1674 2139 2484 2852 3348 4278 6417 8556 12834 19251 25668 38502 43271 77004 86542 129813 173084 259626 389439 519252 778878 995233 1168317 1341401 1557756 1990466 2336634 2682802 2985699 3980932 4024203 4673268 5365604 5971398 8048406 8957097 11942796 12072609 16096812 17914194 24145218 26871291 30852223 35828388 36217827 48290436 53742582 61704446 72435654 92556669 107485164 123408892 144871308 185113338 277670007 370226676 555340014 833010021 1110680028 1666020042 3332040084