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30456305240 = 2356719957107
BaseRepresentation
bin11100010111010101…
…100101011001011000
32220121112220121111012
4130113111211121120
5444333303231430
621554052153052
72125510215554
oct342725453130
986545817435
1030456305240
1111a098769a9
125a9b908788
132b44a8b9ba
14168cca8864
15bd3c10695
hex717565658

30456305240 has 64 divisors (see below), whose sum is σ = 69900192000. Its totient is φ = 11940179328.

The previous prime is 30456305221. The next prime is 30456305249. The reversal of 30456305240 is 4250365403.

It is a junction number, because it is equal to n+sod(n) for n = 30456305197 and 30456305206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30456305249) 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, 504767 + ... + 561873.

It is an arithmetic number, because the mean of its divisors is an integer number (1092190500).

Almost surely, 230456305240 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 30456305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34950096000).

30456305240 is an abundant number, since it is smaller than the sum of its proper divisors (39443886760).

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

30456305240 is a wasteful number, since it uses less digits than its factorization.

30456305240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57384 (or 57380 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 30456305240 in words is "thirty billion, four hundred fifty-six million, three hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 199 268 335 398 536 670 796 995 1340 1592 1990 2680 3980 7960 13333 26666 53332 57107 66665 106664 114214 133330 228428 266660 285535 456856 533320 571070 1142140 2284280 3826169 7652338 11364293 15304676 19130845 22728586 30609352 38261690 45457172 56821465 76523380 90914344 113642930 153046760 227285860 454571720 761407631 1522815262 3045630524 3807038155 6091261048 7614076310 15228152620 30456305240