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168329340 = 22345293583
BaseRepresentation
bin10100000100010…
…00000001111100
3102201202000110000
422002020001330
5321043014330
624411514300
74112530044
oct1202100174
9381660400
10168329340
1187021363
1248458990
1328b48a7a
14184da724
15eba0560
hexa08807c

168329340 has 120 divisors (see below), whose sum is σ = 546416640. Its totient is φ = 43327872.

The previous prime is 168329339. The next prime is 168329347. The reversal of 168329340 is 43923861.

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

It is a junction number, because it is equal to n+sod(n) for n = 168329295 and 168329304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168329347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45189 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (4553472).

Almost surely, 2168329340 is an apocalyptic number.

168329340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168329340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273208320).

168329340 is an abundant number, since it is smaller than the sum of its proper divisors (378087300).

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

168329340 is a wasteful number, since it uses less digits than its factorization.

168329340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 168329340 is about 12974.1797428585. The cubic root of 168329340 is about 552.1451650347.

The spelling of 168329340 in words is "one hundred sixty-eight million, three hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3583 3915 4698 5220 7166 7830 9396 10749 11745 14332 15660 17915 21498 23490 32247 35830 42996 46980 53745 64494 71660 96741 103907 107490 128988 161235 193482 207814 214980 290223 311721 322470 386964 415628 483705 519535 580446 623442 644940 935163 967410 1039070 1160892 1246884 1451115 1558605 1870326 1934820 2078140 2805489 2902230 3117210 3740652 4675815 5610978 5804460 6234420 8416467 9351630 11221956 14027445 16832934 18703260 28054890 33665868 42082335 56109780 84164670 168329340