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3045404640 = 253518135053
BaseRepresentation
bin1011010110000101…
…0010111111100000
321212020110120210110
42311201102333200
522214110422030
61222105331320
7135316340505
oct26541227740
97766416713
103045404640
111323062643
1270ba96b40
13396c210a5
1420c6654ac
1512c5621b0
hexb5852fe0

3045404640 has 96 divisors (see below), whose sum is σ = 9646299936. Its totient is φ = 807598080.

The previous prime is 3045404617. The next prime is 3045404641. The reversal of 3045404640 is 464045403.

3045404640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3045404598 and 3045404607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045404641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69354 + ... + 104406.

It is an arithmetic number, because the mean of its divisors is an integer number (100482291).

Almost surely, 23045404640 is an apocalyptic number.

3045404640 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 3045404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823149968).

3045404640 is an abundant number, since it is smaller than the sum of its proper divisors (6600895296).

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

3045404640 is a wasteful number, since it uses less digits than its factorization.

3045404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35252 (or 35244 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3045404640 is about 55185.1849684315. The cubic root of 3045404640 is about 1449.4892596767.

The spelling of 3045404640 in words is "three billion, forty-five million, four hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 480 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 14480 17376 21720 28960 35053 43440 70106 86880 105159 140212 175265 210318 280424 350530 420636 525795 560848 701060 841272 1051590 1121696 1402120 1682544 2103180 2804240 3365088 4206360 5608480 6344593 8412720 12689186 16825440 19033779 25378372 31722965 38067558 50756744 63445930 76135116 95168895 101513488 126891860 152270232 190337790 203026976 253783720 304540464 380675580 507567440 609080928 761351160 1015134880 1522702320 3045404640