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304023040 = 2951031153
BaseRepresentation
bin10010000111110…
…000011000000000
3210012001222012121
4102013300120000
51110312214130
650100134024
710351103356
oct2207603000
9705058177
10304023040
11146682012
1285997314
134aca8cb9
142c53d7d6
151ba55d7a
hex121f0600

304023040 has 80 divisors (see below), whose sum is σ = 736658208. Its totient is φ = 120324096.

The previous prime is 304023023. The next prime is 304023067. The reversal of 304023040 is 40320403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 263104 + ... + 264256.

Almost surely, 2304023040 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 304023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368329104).

304023040 is an abundant number, since it is smaller than the sum of its proper divisors (432635168).

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

304023040 is a wasteful number, since it uses less digits than its factorization.

304023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 304023040 is about 17436.2564789579. The cubic root of 304023040 is about 672.4120677538.

Adding to 304023040 its reverse (40320403), we get a palindrome (344343443).

The spelling of 304023040 in words is "three hundred four million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 512 515 640 824 1030 1153 1280 1648 2060 2306 2560 3296 4120 4612 5765 6592 8240 9224 11530 13184 16480 18448 23060 26368 32960 36896 46120 52736 65920 73792 92240 118759 131840 147584 184480 237518 263680 295168 368960 475036 590336 593795 737920 950072 1187590 1475840 1900144 2375180 2951680 3800288 4750360 7600576 9500720 15201152 19001440 30402304 38002880 60804608 76005760 152011520 304023040