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300472992 = 253219431277
BaseRepresentation
bin10001111010001…
…101101010100000
3202221101121110100
4101322031222200
51103410113432
645452102400
710305656361
oct2172155240
9687347410
10300472992
11144677896
1284764a00
134a335191
142bc97b68
151b5a407c
hex11e8daa0

300472992 has 144 divisors (see below), whose sum is σ = 921080160. Its totient is φ = 92606976.

The previous prime is 300472981. The next prime is 300472999. The reversal of 300472992 is 299274003.

It is a tau number, because it is divible by the number of its divisors (144).

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 (300472999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234658 + ... + 235934.

It is an arithmetic number, because the mean of its divisors is an integer number (6396390).

Almost surely, 2300472992 is an apocalyptic number.

300472992 is a gapful number since it is divisible by the number (32) 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 300472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460540080).

300472992 is an abundant number, since it is smaller than the sum of its proper divisors (620607168).

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

300472992 is a wasteful number, since it uses less digits than its factorization.

300472992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 300472992 is about 17334.1568009523. The cubic root of 300472992 is about 669.7845836025.

The spelling of 300472992 in words is "three hundred million, four hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 43 48 57 72 76 86 96 114 129 144 152 171 172 228 258 288 304 342 344 387 456 516 608 684 688 774 817 912 1032 1277 1368 1376 1548 1634 1824 2064 2451 2554 2736 3096 3268 3831 4128 4902 5108 5472 6192 6536 7353 7662 9804 10216 11493 12384 13072 14706 15324 19608 20432 22986 24263 26144 29412 30648 39216 40864 45972 48526 54911 58824 61296 72789 78432 91944 97052 109822 117648 122592 145578 164733 183888 194104 218367 219644 235296 291156 329466 367776 388208 436734 439288 494199 582312 658932 776416 873468 878576 988398 1043309 1164624 1317864 1746936 1757152 1976796 2086618 2329248 2635728 3129927 3493872 3953592 4173236 5271456 6259854 6987744 7907184 8346472 9389781 12519708 15814368 16692944 18779562 25039416 33385888 37559124 50078832 75118248 100157664 150236496 300472992