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385314776 = 237115571123
BaseRepresentation
bin10110111101110…
…110111111011000
3222212001000111122
4112331312333120
51242120033101
6102122344412
712356056460
oct2675667730
9885030448
10385314776
11188555770
12a905b108
1361a9c312
1439260ba0
1523c6251b
hex16f76fd8

385314776 has 64 divisors (see below), whose sum is σ = 903156480. Its totient is φ = 149719680.

The previous prime is 385314757. The next prime is 385314817. The reversal of 385314776 is 677413583.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 342551 + ... + 343673.

It is an arithmetic number, because the mean of its divisors is an integer number (14111820).

Almost surely, 2385314776 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 385314776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451578240).

385314776 is an abundant number, since it is smaller than the sum of its proper divisors (517841704).

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

385314776 is a wasteful number, since it uses less digits than its factorization.

385314776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1700 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 385314776 is about 19629.4364666946. The cubic root of 385314776 is about 727.6768430479.

The spelling of 385314776 in words is "three hundred eighty-five million, three hundred fourteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 557 616 1114 1123 2228 2246 3899 4456 4492 6127 7798 7861 8984 12254 12353 15596 15722 24508 24706 31192 31444 42889 49016 49412 62888 85778 86471 98824 171556 172942 343112 345884 625511 691768 1251022 2502044 4378577 5004088 6880621 8757154 13761242 17514308 27522484 35028616 48164347 55044968 96328694 192657388 385314776