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304425936 = 243217373361
BaseRepresentation
bin10010001001010…
…010101111010000
3210012211102212200
4102021102233100
51110413112221
650112523200
710354402113
oct2211225720
9705742780
10304425936
11146927791
1285b50500
134b0ba4b9
142c60657a
151bad5426
hex12252bd0

304425936 has 120 divisors (see below), whose sum is σ = 926742024. Its totient is φ = 92897280.

The previous prime is 304425931. The next prime is 304425941. The reversal of 304425936 is 639524403.

It is an interprime number because it is at equal distance from previous prime (304425931) and next prime (304425941).

It can be written as a sum of positive squares in 4 ways, for example, as 186486336 + 117939600 = 13656^2 + 10860^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 304425936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304425931) 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, 88896 + ... + 92256.

Almost surely, 2304425936 is an apocalyptic number.

304425936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304425936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463371012).

304425936 is an abundant number, since it is smaller than the sum of its proper divisors (622316088).

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

304425936 is a wasteful number, since it uses less digits than its factorization.

304425936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 304425936 is about 17447.8060511917. The cubic root of 304425936 is about 672.7089669056.

The spelling of 304425936 in words is "three hundred four million, four hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3361 3774 5032 5328 5661 6722 7548 10064 10083 11322 13444 15096 20166 22644 26888 30192 30249 40332 45288 53776 57137 60498 80664 90576 114274 120996 124357 161328 171411 228548 241992 248714 342822 373071 457096 483984 497428 514233 685644 746142 914192 994856 1028466 1119213 1371288 1492284 1989712 2056932 2114069 2238426 2742576 2984568 4113864 4228138 4476852 5969136 6342207 8227728 8456276 8953704 12684414 16912552 17907408 19026621 25368828 33825104 38053242 50737656 76106484 101475312 152212968 304425936