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388429668 = 223511172137
BaseRepresentation
bin10111001001101…
…111011101100100
31000001220021100000
4113021233131210
51243414222133
6102313221300
712424412004
oct2711573544
91001807300
10388429668
1118a292a60
12aa101830
1362620053
1439832004
152417a413
hex1726f764

388429668 has 144 divisors (see below), whose sum is σ = 1176686784. Its totient is φ = 110730240.

The previous prime is 388429637. The next prime is 388429687. The reversal of 388429668 is 866924883.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 180696 + ... + 182832.

It is an arithmetic number, because the mean of its divisors is an integer number (8171436).

Almost surely, 2388429668 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 388429668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588343392).

388429668 is an abundant number, since it is smaller than the sum of its proper divisors (788257116).

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

388429668 is a wasteful number, since it uses less digits than its factorization.

388429668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2170 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 388429668 is about 19708.6191297107. The cubic root of 388429668 is about 729.6324339589.

The spelling of 388429668 in words is "three hundred eighty-eight million, four hundred twenty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 243 297 306 324 374 396 459 486 561 594 612 748 891 918 972 1122 1188 1377 1683 1782 1836 2137 2244 2673 2754 3366 3564 4131 4274 5049 5346 5508 6411 6732 8262 8548 10098 10692 12822 15147 16524 19233 20196 23507 25644 30294 36329 38466 45441 47014 57699 60588 70521 72658 76932 90882 94028 108987 115398 141042 145316 173097 181764 211563 217974 230796 282084 326961 346194 399619 423126 435948 519291 634689 653922 692388 799238 846252 980883 1038582 1198857 1269378 1307844 1598476 1904067 1961766 2077164 2397714 2538756 2942649 3596571 3808134 3923532 4795428 5712201 5885298 7193142 7616268 8827947 10789713 11424402 11770596 14386284 17655894 21579426 22848804 32369139 35311788 43158852 64738278 97107417 129476556 194214834 388429668