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30817217304 = 23323121373251
BaseRepresentation
bin11100101100110110…
…010110101100011000
32221112201000211202200
4130230312112230120
51001103201423204
622053543530200
72140452011406
oct345466265430
987481024680
1030817217304
1112084574535
125b80759960
132ba1795933
1416c4bb6476
15c05752539
hex72cd96b18

30817217304 has 144 divisors (see below), whose sum is σ = 86898740760. Its totient is φ = 9865440000.

The previous prime is 30817217297. The next prime is 30817217317. The reversal of 30817217304 is 40371271803.

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 35 ways as a sum of consecutive naturals, for example, 9477679 + ... + 9480929.

Almost surely, 230817217304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30817217304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43449370380).

30817217304 is an abundant number, since it is smaller than the sum of its proper divisors (56081523456).

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

30817217304 is a wasteful number, since it uses less digits than its factorization.

30817217304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 30817217304 in words is "thirty billion, eight hundred seventeen million, two hundred seventeen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 137 186 248 274 279 372 411 548 558 744 822 961 1096 1116 1233 1644 1922 2232 2466 2883 3251 3288 3844 4247 4932 5766 6502 7688 8494 8649 9753 9864 11532 12741 13004 16988 17298 19506 23064 25482 26008 29259 33976 34596 38223 39012 50964 58518 69192 76446 78024 100781 101928 117036 131657 152892 201562 234072 263314 302343 305784 394971 403124 445387 526628 604686 789942 806248 890774 907029 1053256 1184913 1209372 1336161 1579884 1781548 1814058 2369826 2418744 2672322 3124211 3159768 3563096 3628116 4008483 4739652 5344644 6248422 7256232 8016966 9372633 9479304 10689288 12496844 13806997 16033932 18745266 24993688 27613994 28117899 32067864 37490532 41420991 55227988 56235798 74981064 82841982 110455976 112471596 124262973 165683964 224943192 248525946 331367928 428016907 497051892 856033814 994103784 1284050721 1712067628 2568101442 3424135256 3852152163 5136202884 7704304326 10272405768 15408608652 30817217304