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3045504960 = 26335352489
BaseRepresentation
bin1011010110000110…
…1011011111000000
321212020122200102000
42311201223133000
522214122124320
61222111424000
7135320236131
oct26541533700
97766580360
103045504960
111323120a53
1270bb25000
13396c57954
1420c68dc88
1512c581c90
hexb586b7c0

3045504960 has 112 divisors (see below), whose sum is σ = 10743895200. Its totient is φ = 812132352.

The previous prime is 3045504953. The next prime is 3045504983. The reversal of 3045504960 is 694055403.

It is a happy number.

3045504960 is a `hidden beast` number, since 3 + 0 + 4 + 550 + 49 + 60 = 666.

3045504960 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 super-2 number, since 2×30455049602 = 18550200922769203200, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167605 + ... + 184884.

Almost surely, 23045504960 is an apocalyptic number.

3045504960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3045504960 is an abundant number, since it is smaller than the sum of its proper divisors (7698390240).

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

3045504960 is a wasteful number, since it uses less digits than its factorization.

3045504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352515 (or 352499 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3045504960 is about 55186.0939005471. The cubic root of 3045504960 is about 1449.5051755875.

The spelling of 3045504960 in words is "three billion, forty-five million, five hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 352489 704978 1057467 1409956 1762445 2114934 2819912 3172401 3524890 4229868 5287335 5639824 6344802 7049780 8459736 9517203 10574670 11279648 12689604 14099560 15862005 16919472 19034406 21149340 22559296 25379208 28199120 31724010 33838944 38068812 42298680 47586015 50758416 56398240 63448020 67677888 76137624 84597360 95172030 101516832 112796480 126896040 152275248 169194720 190344060 203033664 253792080 304550496 338389440 380688120 507584160 609100992 761376240 1015168320 1522752480 3045504960