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30321818040 = 23351913299043
BaseRepresentation
bin11100001111010100…
…100011100110111000
32220021011211221201210
4130033110203212320
5444044341134130
621532445443120
72122255125603
oct341724434670
986234757653
1030321818040
111194a96a758
125a628704a0
132b22c61987
14167909b33a
15bc6ee75b0
hex70f5239b8

30321818040 has 64 divisors (see below), whose sum is σ = 95753116800. Its totient is φ = 7660248192.

The previous prime is 30321818011. The next prime is 30321818041. The reversal of 30321818040 is 4081812303.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30321817989 and 30321818007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30321818041) 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, 6647242 + ... + 6651801.

It is an arithmetic number, because the mean of its divisors is an integer number (1496142450).

Almost surely, 230321818040 is an apocalyptic number.

30321818040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30321818040 is an abundant number, since it is smaller than the sum of its proper divisors (65431298760).

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

30321818040 is a wasteful number, since it uses less digits than its factorization.

30321818040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299076 (or 13299072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 30321818040 in words is "thirty billion, three hundred twenty-one million, eight hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 13299043 26598086 39897129 53196172 66495215 79794258 106392344 132990430 159588516 199485645 252681817 265980860 319177032 398971290 505363634 531961720 758045451 797942580 1010727268 1263409085 1516090902 1595885160 2021454536 2526818170 3032181804 3790227255 5053636340 6064363608 7580454510 10107272680 15160909020 30321818040