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168293944 = 2371319233
BaseRepresentation
bin10100000011111…
…11011000111000
3102201200012220001
422001333120320
5321040401234
624411042344
74112321620
oct1201773070
9381605801
10168293944
1186aa7805
12484403b4
1328b35920
14184cb880
15eb94d14
hexa07f638

168293944 has 128 divisors (see below), whose sum is σ = 427392000. Its totient is φ = 60331392.

The previous prime is 168293899. The next prime is 168294011. The reversal of 168293944 is 449392861.

168293944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 168293944 = 463 + 5523 = 4143 + 4603.

Its product of digits (373248) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 168293894 and 168293903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7317117 + ... + 7317139.

It is an arithmetic number, because the mean of its divisors is an integer number (3339000).

Almost surely, 2168293944 is an apocalyptic number.

168293944 is a gapful number since it is divisible by the number (14) 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 168293944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213696000).

168293944 is an abundant number, since it is smaller than the sum of its proper divisors (259098056).

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

168293944 is a wasteful number, since it uses less digits than its factorization.

168293944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 168293944 is about 12972.8155771983. The cubic root of 168293944 is about 552.1064609477.

The spelling of 168293944 in words is "one hundred sixty-eight million, two hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 19 23 26 28 38 46 52 56 76 91 92 104 133 152 161 182 184 247 266 299 322 364 437 494 529 532 598 644 728 874 988 1058 1064 1196 1288 1729 1748 1976 2093 2116 2392 3059 3458 3496 3703 4186 4232 5681 6118 6877 6916 7406 8372 10051 11362 12167 12236 13754 13832 14812 16744 20102 22724 24334 24472 27508 29624 39767 40204 45448 48139 48668 55016 70357 79534 80408 85169 96278 97336 130663 140714 158171 159068 170338 192556 231173 261326 281428 316342 318136 340676 385112 462346 522652 562856 632684 681352 914641 924692 1045304 1107197 1265368 1618211 1829282 1849384 2214394 3005249 3236422 3658564 4428788 6010498 6472844 7317128 8857576 12020996 12945688 21036743 24041992 42073486 84146972 168293944