Search a number
-
+
385600704 = 26323293011
BaseRepresentation
bin10110111110111…
…100110011000000
3222212120112201120
4112332330303000
51242203210304
6102132432240
712361360206
oct2676746300
9885515646
10385600704
11188730575
12a9178680
1361b6c4c8
14392d7076
1523cbc0d9
hex16fbccc0

385600704 has 112 divisors (see below), whose sum is σ = 1101669120. Its totient is φ = 118666240.

The previous prime is 385600693. The next prime is 385600711. The reversal of 385600704 is 407006583.

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, 126559 + ... + 129569.

Almost surely, 2385600704 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 385600704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550834560).

385600704 is an abundant number, since it is smaller than the sum of its proper divisors (716068416).

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

385600704 is a wasteful number, since it uses less digits than its factorization.

385600704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 385600704 is about 19636.7182594241. The cubic root of 385600704 is about 727.8567926659.

The spelling of 385600704 in words is "three hundred eighty-five million, six hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 3011 4002 4416 5336 5568 6022 8004 9033 10672 12044 16008 18066 21344 24088 32016 36132 42688 48176 64032 69253 72264 87319 96352 128064 138506 144528 174638 192704 207759 261957 277012 289056 349276 415518 523914 554024 578112 698552 831036 1047828 1108048 1397104 1662072 2008337 2095656 2216096 2794208 3324144 4016674 4191312 4432192 5588416 6025011 6648288 8033348 8382624 12050022 13296576 16066696 16765248 24100044 32133392 48200088 64266784 96400176 128533568 192800352 385600704