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304649040 = 24351966809
BaseRepresentation
bin10010001010001…
…001001101010000
3210020020202220210
4102022021031100
51110442232130
650121404120
710356321423
oct2212111520
9706222823
10304649040
11146a6a373
1286039640
134b167c07
142c6639ba
151bb2b5b0
hex12289350

304649040 has 80 divisors (see below), whose sum is σ = 994132800. Its totient is φ = 76962816.

The previous prime is 304649039. The next prime is 304649041. The reversal of 304649040 is 40946403.

It is an interprime number because it is at equal distance from previous prime (304649039) and next prime (304649041).

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

It is a super-2 number, since 2×3046490402 = 185622075145843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304648989 and 304649007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304649041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28845 + ... + 37964.

It is an arithmetic number, because the mean of its divisors is an integer number (12426660).

Almost surely, 2304649040 is an apocalyptic number.

304649040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304649040 is an abundant number, since it is smaller than the sum of its proper divisors (689483760).

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

304649040 is a wasteful number, since it uses less digits than its factorization.

304649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66844 (or 66838 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 304649040 is about 17454.1983488214. The cubic root of 304649040 is about 672.8732623818.

The spelling of 304649040 in words is "three hundred four million, six hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 66809 133618 200427 267236 334045 400854 534472 668090 801708 1002135 1068944 1269371 1336180 1603416 2004270 2538742 2672360 3206832 3808113 4008540 5077484 5344720 6346855 7616226 8017080 10154968 12693710 15232452 16034160 19040565 20309936 25387420 30464904 38081130 50774840 60929808 76162260 101549680 152324520 304649040