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330303040 = 2652935593
BaseRepresentation
bin10011101100000…
…000011001000000
3212000112010120221
4103230000121000
51134024144130
652435312424
711120346424
oct2354003100
9760463527
10330303040
1115a4a1621
129274b714
135357a9b2
1431c20b84
151dee787a
hex13b00640

330303040 has 56 divisors (see below), whose sum is σ = 813678840. Its totient is φ = 127561728.

The previous prime is 330303031. The next prime is 330303053. The reversal of 330303040 is 40303033.

330303040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1098304 + 329204736 = 1048^2 + 18144^2 .

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

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, 8517 + ... + 27076.

Almost surely, 2330303040 is an apocalyptic number.

It is an amenable number.

330303040 is an abundant number, since it is smaller than the sum of its proper divisors (483375800).

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

330303040 is a wasteful number, since it uses less digits than its factorization.

330303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35639 (or 35629 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 330303040 is about 18174.2411120795. The cubic root of 330303040 is about 691.2537870381.

Adding to 330303040 its reverse (40303033), we get a palindrome (370606073).

The spelling of 330303040 in words is "three hundred thirty million, three hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 35593 71186 142372 177965 284744 355930 569488 711860 1032197 1138976 1423720 2064394 2277952 2847440 4128788 5160985 5694880 8257576 10321970 11389760 16515152 20643940 33030304 41287880 66060608 82575760 165151520 330303040