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4032342006 = 2372114632693
BaseRepresentation
bin1111000001011000…
…1010011111110110
3101102000120012100020
43300112022133312
531224234421011
61504043030010
7201632225100
oct36026123766
911360505306
104032342006
11178a174260
1294650b306
134c35366b4
142a3772570
15189013006
hexf058a7f6

4032342006 has 96 divisors (see below), whose sum is σ = 10260131328. Its totient is φ = 1044711360.

The previous prime is 4032342001. The next prime is 4032342007. The reversal of 4032342006 is 6002432304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032342001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1495996 + ... + 1498688.

It is an arithmetic number, because the mean of its divisors is an integer number (106876368).

Almost surely, 24032342006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032342006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130065664).

4032342006 is an abundant number, since it is smaller than the sum of its proper divisors (6227789322).

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

4032342006 is a wasteful number, since it uses less digits than its factorization.

4032342006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4032342006 is about 63500.7244525604. The cubic root of 4032342006 is about 1591.6678839179.

The spelling of 4032342006 in words is "four billion, thirty-two million, three hundred forty-two thousand, six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 463 539 926 1078 1389 1617 2693 2778 3234 3241 5093 5386 6482 8079 9723 10186 15279 16158 18851 19446 22687 29623 30558 35651 37702 45374 56553 59246 68061 71302 88869 106953 113106 131957 136122 177738 207361 213906 249557 263914 395871 414722 499114 622083 748671 791742 1244166 1246859 1451527 1497342 2493718 2903054 3740577 4354581 7481154 8709162 8728013 13715449 17456026 26184039 27430898 41146347 52368078 61096091 82292694 96008143 122192182 183288273 192016286 288024429 366576546 576048858 672057001 1344114002 2016171003 4032342006