Search a number
-
+
388409742 = 2367192003
BaseRepresentation
bin10111001001101…
…010100110001110
31000001212021000000
4113021222212032
51243413102432
6102312545130
712424266630
oct2711524616
91001767000
10388409742
1118a279a96
12aa0b21a6
1362613c66
1439828a50
152417457c
hex1726a98e

388409742 has 112 divisors (see below), whose sum is σ = 1051378560. Its totient is φ = 105080976.

The previous prime is 388409737. The next prime is 388409743. The reversal of 388409742 is 247904883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388409743) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 192913 + ... + 194915.

Almost surely, 2388409742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388409742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525689280).

388409742 is an abundant number, since it is smaller than the sum of its proper divisors (662968818).

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

388409742 is a wasteful number, since it uses less digits than its factorization.

388409742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 388409742 is about 19708.1136083594. The cubic root of 388409742 is about 729.6199573077.

The spelling of 388409742 in words is "three hundred eighty-eight million, four hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 243 266 342 378 399 486 513 567 729 798 1026 1134 1197 1458 1539 1701 2003 2394 3078 3402 3591 4006 4617 5103 6009 7182 9234 10206 10773 12018 13851 14021 18027 21546 27702 28042 32319 36054 38057 42063 54081 64638 76114 84126 96957 108162 114171 126189 162243 193914 228342 252378 266399 324486 342513 378567 486729 532798 685026 757134 799197 973458 1027539 1135701 1460187 1598394 2055078 2271402 2397591 2920374 3082617 3407103 4795182 6165234 6814206 7192773 9247851 10221309 14385546 18495702 20442618 21578319 27743553 43156638 55487106 64734957 129469914 194204871 388409742