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385297344 = 2633293761
BaseRepresentation
bin10110111101110…
…010101111000000
3222212000010121000
4112331302233000
51242114003334
6102122132000
712355654605
oct2675625700
9885003530
10385297344
11188543663
12a9051000
1361a943c3
14392586ac
1523c5c299
hex16f72bc0

385297344 has 112 divisors (see below), whose sum is σ = 1138062240. Its totient is φ = 127825920.

The previous prime is 385297337. The next prime is 385297351. The reversal of 385297344 is 443792583.

It is an interprime number because it is at equal distance from previous prime (385297337) and next prime (385297351).

It is a self number, because there is not a number n which added to its sum of digits gives 385297344.

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, 505924 + ... + 506684.

It is an arithmetic number, because the mean of its divisors is an integer number (10161270).

Almost surely, 2385297344 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 385297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569031120).

385297344 is an abundant number, since it is smaller than the sum of its proper divisors (752764896).

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

385297344 is a wasteful number, since it uses less digits than its factorization.

385297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 385297344 is about 19628.9924346615. The cubic root of 385297344 is about 727.6658692893.

It can be divided in two parts, 385297 and 344, that added together give a square (385641 = 6212).

The spelling of 385297344 in words is "three hundred eighty-five million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 293 432 576 586 761 864 879 1172 1522 1728 1758 2283 2344 2637 3044 3516 4566 4688 5274 6088 6849 7032 7911 9132 9376 10548 12176 13698 14064 15822 18264 18752 20547 21096 24352 27396 28128 31644 36528 41094 42192 48704 54792 56256 63288 73056 82188 84384 109584 126576 146112 164376 168768 219168 222973 253152 328752 438336 445946 506304 657504 668919 891892 1315008 1337838 1783784 2006757 2675676 3567568 4013514 5351352 6020271 7135136 8027028 10702704 12040542 14270272 16054056 21405408 24081084 32108112 42810816 48162168 64216224 96324336 128432448 192648672 385297344