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3442002984 = 23347758819
BaseRepresentation
bin1100110100101000…
…1100110000101000
322212212201212110000
43031022030300220
524022123043414
61325314023000
7151203354060
oct31512146050
98785655400
103442002984
111506a14872
12800877a60
1342b141274
142491c23a0
151522a2b09
hexcd28cc28

3442002984 has 80 divisors (see below), whose sum is σ = 11018066400. Its totient is φ = 983428128.

The previous prime is 3442002979. The next prime is 3442002989. The reversal of 3442002984 is 4892002443.

3442002984 is a `hidden beast` number, since 344 + 20 + 0 + 298 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3442002979) and next prime (3442002989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3442002989) 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 19 ways as a sum of consecutive naturals, for example, 374874 + ... + 383945.

It is an arithmetic number, because the mean of its divisors is an integer number (137725830).

Almost surely, 23442002984 is an apocalyptic number.

It is an amenable number.

3442002984 is an abundant number, since it is smaller than the sum of its proper divisors (7576063416).

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

3442002984 is a wasteful number, since it uses less digits than its factorization.

3442002984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758844 (or 758831 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3442002984 is about 58668.5860064822. The cubic root of 3442002984 is about 1509.8613945258.

The spelling of 3442002984 in words is "three billion, four hundred forty-two million, two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 758819 1517638 2276457 3035276 4552914 5311733 6070552 6829371 9105828 10623466 13658742 15935199 18211656 20488113 21246932 27317484 31870398 40976226 42493864 47805597 54634968 61464339 63740796 81952452 95611194 122928678 127481592 143416791 163904904 191222388 245857356 286833582 382444776 430250373 491714712 573667164 860500746 1147334328 1721001492 3442002984