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3442003020 = 2232536715209
BaseRepresentation
bin1100110100101000…
…1100110001001100
322212212201212111100
43031022030301030
524022123044040
61325314023100
7151203354141
oct31512146114
98785655440
103442003020
111506a148a5
12800877a90
1342b1412a1
142491c23c8
151522a2b30
hexcd28cc4c

3442003020 has 72 divisors (see below), whose sum is σ = 10445591520. Its totient is φ = 917441280.

The previous prime is 3442002989. The next prime is 3442003021. The reversal of 3442003020 is 203002443.

3442003020 is a `hidden beast` number, since 344 + 20 + 0 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3442002984 and 3442003002.

It is not an unprimeable number, because it can be changed into a prime (3442003021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658176 + ... + 663384.

It is an arithmetic number, because the mean of its divisors is an integer number (145077660).

Almost surely, 23442003020 is an apocalyptic number.

3442003020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442003020 is an abundant number, since it is smaller than the sum of its proper divisors (7003588500).

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

3442003020 is a wasteful number, since it uses less digits than its factorization.

3442003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8895 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3442003020 is about 58668.5863132904. The cubic root of 3442003020 is about 1509.8613997897.

Adding to 3442003020 its reverse (203002443), we get a palindrome (3645005463).

The spelling of 3442003020 in words is "three billion, four hundred forty-two million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3671 5209 7342 10418 11013 14684 15627 18355 20836 22026 26045 31254 33039 36710 44052 46881 52090 55065 62508 66078 73420 78135 93762 104180 110130 132156 156270 165195 187524 220260 234405 312540 330390 468810 660780 937620 19122239 38244478 57366717 76488956 95611195 114733434 172100151 191222390 229466868 286833585 344200302 382444780 573667170 688400604 860500755 1147334340 1721001510 3442003020