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3325352760 = 2332512772733
BaseRepresentation
bin1100011000110100…
…1101101100111000
322120202020102102100
43012031031230320
523302242242020
61305545503400
7145256014002
oct30615155470
98522212370
103325352760
111457090824
127897a1b60
1340cc1ac72
142378d9372
15146e0ea90
hexc634db38

3325352760 has 96 divisors (see below), whose sum is σ = 10892643840. Its totient is φ = 879766272.

The previous prime is 3325352759. The next prime is 3325352761. The reversal of 3325352760 is 672535233.

3325352760 is a `hidden beast` number, since 332 + 53 + 5 + 276 + 0 = 666.

3325352760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3325352759) and next prime (3325352761).

It is a super-2 number, since 2×33253527602 = 22115941956879235200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3325352761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9354 + ... + 82086.

It is an arithmetic number, because the mean of its divisors is an integer number (113465040).

Almost surely, 23325352760 is an apocalyptic number.

3325352760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3325352760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446321920).

3325352760 is an abundant number, since it is smaller than the sum of its proper divisors (7567291080).

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

3325352760 is a wasteful number, since it uses less digits than its factorization.

3325352760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72877 (or 72870 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 3325352760 is about 57665.8717093568. The cubic root of 3325352760 is about 1492.6084902155.

Adding to 3325352760 its reverse (672535233), we get a palindrome (3997887993).

The spelling of 3325352760 in words is "three billion, three hundred twenty-five million, three hundred fifty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5715 7620 9144 11430 15240 22860 45720 72733 145466 218199 290932 363665 436398 581864 654597 727330 872796 1090995 1309194 1454660 1745592 2181990 2618388 2909320 3272985 4363980 5236776 6545970 8727960 9237091 13091940 18474182 26183880 27711273 36948364 46185455 55422546 73896728 83133819 92370910 110845092 138556365 166267638 184741820 221690184 277112730 332535276 369483640 415669095 554225460 665070552 831338190 1108450920 1662676380 3325352760