Search a number
-
+
3325015040 = 21051738201
BaseRepresentation
bin1100011000101111…
…1011010000000000
322120201121021011012
43012023323100000
523302200440130
61305534340052
7145253106254
oct30613732000
98521537135
103325015040
111456980016
1278965a628
1340cb30329
1423784c264
15146d94995
hexc62fb400

3325015040 has 88 divisors (see below), whose sum is σ = 8445545352. Its totient is φ = 1251737600.

The previous prime is 3325015003. The next prime is 3325015061. The reversal of 3325015040 is 405105233.

It can be written as a sum of positive squares in 4 ways, for example, as 533794816 + 2791220224 = 23104^2 + 52832^2 .

It is a super-2 number, since 2×33250150402 = 22111450032452403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3325014997 and 3325015015.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 67940 + ... + 106140.

Almost surely, 23325015040 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 3325015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222772676).

3325015040 is an abundant number, since it is smaller than the sum of its proper divisors (5120530312).

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

3325015040 is a wasteful number, since it uses less digits than its factorization.

3325015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38243 (or 38225 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 3325015040 is about 57662.9433865459. The cubic root of 3325015040 is about 1492.5579591550.

The spelling of 3325015040 in words is "three billion, three hundred twenty-five million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2176 2560 2720 4352 5120 5440 8704 10880 17408 21760 38201 43520 76402 87040 152804 191005 305608 382010 611216 649417 764020 1222432 1298834 1528040 2444864 2597668 3056080 3247085 4889728 5195336 6112160 6494170 9779456 10390672 12224320 12988340 19558912 20781344 24448640 25976680 39117824 41562688 48897280 51953360 83125376 97794560 103906720 166250752 195589120 207813440 332501504 415626880 665003008 831253760 1662507520 3325015040