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308072448 = 2123261137
BaseRepresentation
bin10010010111001…
…101000000000000
3210110200200221200
4102113031000000
51112331304243
650323021200
710430400255
oct2227150000
9713620850
10308072448
11148998432
128720a800
134ba961b8
142ccb542c
151c0a5ad3
hex125cd000

308072448 has 156 divisors (see below), whose sum is σ = 911068548. Its totient is φ = 100270080.

The previous prime is 308072447. The next prime is 308072461. The reversal of 308072448 is 844270803.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 230068224 = 8832^2 + 15168^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (308072447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2248636 + ... + 2248772.

It is an arithmetic number, because the mean of its divisors is an integer number (5840183).

Almost surely, 2308072448 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 308072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455534274).

308072448 is an abundant number, since it is smaller than the sum of its proper divisors (602996100).

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

308072448 is a wasteful number, since it uses less digits than its factorization.

308072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 308072448 is about 17551.9927073823. The cubic root of 308072448 is about 675.3842881730.

The spelling of 308072448 in words is "three hundred eight million, seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 137 144 183 192 244 256 274 288 366 384 411 488 512 548 549 576 732 768 822 976 1024 1096 1098 1152 1233 1464 1536 1644 1952 2048 2192 2196 2304 2466 2928 3072 3288 3904 4096 4384 4392 4608 4932 5856 6144 6576 7808 8357 8768 8784 9216 9864 11712 12288 13152 15616 16714 17536 17568 18432 19728 23424 25071 26304 31232 33428 35072 35136 36864 39456 46848 50142 52608 62464 66856 70144 70272 75213 78912 93696 100284 105216 124928 133712 140288 140544 150426 157824 187392 200568 210432 249856 267424 280576 281088 300852 315648 374784 401136 420864 534848 561152 562176 601704 631296 749568 802272 841728 1069696 1124352 1203408 1262592 1604544 1683456 2139392 2248704 2406816 2525184 3209088 4278784 4813632 5050368 6418176 8557568 9627264 12836352 17115136 19254528 25672704 34230272 38509056 51345408 77018112 102690816 154036224 308072448