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30295066320 = 2432552180761
BaseRepresentation
bin11100001101101110…
…100000011011010000
32220012022111211021100
4130031232200123100
5444021014110240
621530052224400
72121511546341
oct341556403320
986168454240
1030295066320
11119368587a2
125a5590b100
132b1a55635c
1416756d60c8
15bc49b0e30
hex70dba06d0

30295066320 has 120 divisors (see below), whose sum is σ = 101937473352. Its totient is φ = 8063078400.

The previous prime is 30295066309. The next prime is 30295066339. The reversal of 30295066320 is 2366059203.

It can be written as a sum of positive squares in 4 ways, for example, as 160883856 + 30134182464 = 12684^2 + 173592^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 334740 + ... + 415500.

Almost surely, 230295066320 is an apocalyptic number.

30295066320 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 30295066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50968736676).

30295066320 is an abundant number, since it is smaller than the sum of its proper divisors (71642407032).

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

30295066320 is a wasteful number, since it uses less digits than its factorization.

30295066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81301 (or 81292 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 30295066320 in words is "thirty billion, two hundred ninety-five million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 521 720 1042 1563 2084 2605 3126 4168 4689 5210 6252 7815 8336 9378 10420 12504 15630 18756 20840 23445 25008 31260 37512 41680 46890 62520 75024 80761 93780 125040 161522 187560 242283 323044 375120 403805 484566 646088 726849 807610 969132 1211415 1292176 1453698 1615220 1938264 2422830 2907396 3230440 3634245 3876528 4845660 5814792 6460880 7268490 9691320 11629584 14536980 19382640 29073960 42076481 58147920 84152962 126229443 168305924 210382405 252458886 336611848 378688329 420764810 504917772 631147215 673223696 757376658 841529620 1009835544 1262294430 1514753316 1683059240 1893441645 2019671088 2524588860 3029506632 3366118480 3786883290 5049177720 6059013264 7573766580 10098355440 15147533160 30295066320