Search a number
-
+
304049408 = 2813103887
BaseRepresentation
bin10010000111110…
…110110100000000
3210012010022101012
4102013312310000
51110314040113
650100500052
710351243265
oct2207666400
9705108335
10304049408
1114669a903
12859aa628
134acb7cc0
142c54926c
151ba5daa8
hex121f6d00

304049408 has 72 divisors (see below), whose sum is σ = 660686208. Its totient is φ = 138811392.

The previous prime is 304049377. The next prime is 304049413. The reversal of 304049408 is 804940403.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342341 + ... + 343227.

Almost surely, 2304049408 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 304049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330343104).

304049408 is an abundant number, since it is smaller than the sum of its proper divisors (356636800).

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

304049408 is a wasteful number, since it uses less digits than its factorization.

304049408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 304049408 is about 17437.0125881700. The cubic root of 304049408 is about 672.4315066849.

The spelling of 304049408 in words is "three hundred four million, forty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 256 412 416 824 832 887 1339 1648 1664 1774 2678 3296 3328 3548 5356 6592 7096 10712 11531 13184 14192 21424 23062 26368 28384 42848 46124 56768 85696 91361 92248 113536 171392 182722 184496 227072 342784 365444 368992 730888 737984 1187693 1461776 1475968 2375386 2923552 2951936 4750772 5847104 9501544 11694208 19003088 23388416 38006176 76012352 152024704 304049408