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385294500 = 22325385621
BaseRepresentation
bin10110111101110…
…010000010100100
3222211222222200200
4112331302002210
51242113411000
6102122110500
712355643403
oct2675620244
9884888620
10385294500
11188541508
12a904b430
1361a93016
143925763a
1523c5b500
hex16f720a4

385294500 has 72 divisors (see below), whose sum is σ = 1215489912. Its totient is φ = 102744000.

The previous prime is 385294499. The next prime is 385294501. The reversal of 385294500 is 5492583.

It is an interprime number because it is at equal distance from previous prime (385294499) and next prime (385294501).

It can be written as a sum of positive squares in 4 ways, for example, as 820836 + 384473664 = 906^2 + 19608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385294501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38311 + ... + 47310.

Almost surely, 2385294500 is an apocalyptic number.

385294500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385294500 is an abundant number, since it is smaller than the sum of its proper divisors (830195412).

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

385294500 is a wasteful number, since it uses less digits than its factorization.

385294500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85646 (or 85631 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 385294500 is about 19628.9199906668. The cubic root of 385294500 is about 727.6640789086.

The spelling of 385294500 in words is "three hundred eighty-five million, two hundred ninety-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1125 1500 2250 4500 85621 171242 256863 342484 428105 513726 770589 856210 1027452 1284315 1541178 1712420 2140525 2568630 3082356 3852945 4281050 5137260 6421575 7705890 8562100 10702625 12843150 15411780 19264725 21405250 25686300 32107875 38529450 42810500 64215750 77058900 96323625 128431500 192647250 385294500