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30499023360 = 293513305479
BaseRepresentation
bin11100011001111000…
…100010101000000000
32220201112021220201210
4130121320202220000
5444430222221420
622002215530120
72126536264311
oct343170425000
986645256653
1030499023360
1111a309a3733
125ab2089940
132b508977b0
141694828608
15bd784c9e0
hex719e22a00

30499023360 has 160 divisors (see below), whose sum is σ = 105002029440. Its totient is φ = 7507427328.

The previous prime is 30499023287. The next prime is 30499023367. The reversal of 30499023360 is 6332099403.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (30499023367) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52900 + ... + 252579.

It is an arithmetic number, because the mean of its divisors is an integer number (656262684).

Almost surely, 230499023360 is an apocalyptic number.

30499023360 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 30499023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52501014720).

30499023360 is an abundant number, since it is smaller than the sum of its proper divisors (74503006080).

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

30499023360 is a wasteful number, since it uses less digits than its factorization.

30499023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305518 (or 305502 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The spelling of 30499023360 in words is "thirty billion, four hundred ninety-nine million, twenty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 305479 610958 916437 1221916 1527395 1832874 2443832 3054790 3665748 3971227 4582185 4887664 6109580 7331496 7942454 9164370 9775328 11913681 12219160 14662992 15884908 18328740 19550656 19856135 23827362 24438320 29325984 31769816 36657480 39101312 39712270 47654724 48876640 58651968 59568405 63539632 73314960 78202624 79424540 95309448 97753280 117303936 119136810 127079264 146629920 156405248 158849080 190618896 195506560 234607872 238273620 254158528 293259840 317698160 381237792 391013120 469215744 476547240 508317056 586519680 635396320 762475584 782026240 953094480 1016634112 1173039360 1270792640 1524951168 1906188960 2033268224 2346078720 2541585280 3049902336 3812377920 5083170560 6099804672 7624755840 10166341120 15249511680 30499023360