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387429744 = 243131933217
BaseRepresentation
bin10111000101111…
…011010101110000
31000000000110200210
4113011323111300
51243140222434
6102235544120
712413045532
oct2705732560
91000013623
10387429744
1118976a779
12a98bb040
136235cb90
1439651852
152402dee9
hex1717b570

387429744 has 80 divisors (see below), whose sum is σ = 1083770912. Its totient is φ = 118554624.

The previous prime is 387429739. The next prime is 387429751. The reversal of 387429744 is 447924783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 387429693 and 387429702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118824 + ... + 122040.

Almost surely, 2387429744 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 387429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541885456).

387429744 is an abundant number, since it is smaller than the sum of its proper divisors (696341168).

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

387429744 is a wasteful number, since it uses less digits than its factorization.

387429744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434 (or 3428 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 387429744 is about 19683.2350999524. The cubic root of 387429744 is about 729.0058049255.

The spelling of 387429744 in words is "three hundred eighty-seven million, four hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 193 208 312 386 579 624 772 1158 1544 2316 2509 3088 3217 4632 5018 6434 7527 9264 9651 10036 12868 15054 19302 20072 25736 30108 38604 40144 41821 51472 60216 77208 83642 120432 125463 154416 167284 250926 334568 501852 620881 669136 1003704 1241762 1862643 2007408 2483524 3725286 4967048 7450572 8071453 9934096 14901144 16142906 24214359 29802288 32285812 48428718 64571624 96857436 129143248 193714872 387429744