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3402003132 = 22331110612699
BaseRepresentation
bin1100101011000110…
…0111001010111100
322210002110122222000
43022301213022330
523431403100012
61321324422300
7150206356323
oct31261471274
98702418860
103402003132
111496384340
127ab3a7990
13422a77808
14243b6d0ba
1514da00ddc
hexcac672bc

3402003132 has 96 divisors (see below), whose sum is σ = 9634464000. Its totient is φ = 1029556800.

The previous prime is 3402003131. The next prime is 3402003139. The reversal of 3402003132 is 2313002043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259119 + ... + 1261817.

It is an arithmetic number, because the mean of its divisors is an integer number (100359000).

Almost surely, 23402003132 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 3402003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817232000).

3402003132 is an abundant number, since it is smaller than the sum of its proper divisors (6232460868).

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

3402003132 is a wasteful number, since it uses less digits than its factorization.

3402003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3402003132 is about 58326.6931344475. The cubic root of 3402003132 is about 1503.9898420309.

Adding to 3402003132 its reverse (2313002043), we get a palindrome (5715005175).

The spelling of 3402003132 in words is "three billion, four hundred two million, three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1061 1188 2122 2699 3183 4244 5398 6366 8097 9549 10796 11671 12732 16194 19098 23342 24291 28647 29689 32388 35013 38196 46684 48582 57294 59378 70026 72873 89067 97164 105039 114588 118756 140052 145746 178134 210078 267201 291492 315117 356268 420156 534402 630234 801603 1068804 1260468 1603206 2863639 3206412 5727278 8590917 11454556 17181834 25772751 31500029 34363668 51545502 63000058 77318253 94500087 103091004 126000116 154636506 189000174 283500261 309273012 378000348 567000522 850500783 1134001044 1701001566 3402003132