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1014303304 = 237296191009
BaseRepresentation
bin111100011101010…
…000101001001000
32121200120221120001
4330131100221020
54034130201204
6244352012344
734064302330
oct7435205110
92550527501
101014303304
114806030a3
122438310b4
131321a7691
14989d20c0
155e0a94a4
hex3c750a48

1014303304 has 64 divisors (see below), whose sum is σ = 2254320000. Its totient is φ = 418618368.

The previous prime is 1014303281. The next prime is 1014303319. The reversal of 1014303304 is 4033034101.

It is a super-2 number, since 2×10143033042 = 2057622385010632832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004752 + ... + 1005760.

It is an arithmetic number, because the mean of its divisors is an integer number (35223750).

Almost surely, 21014303304 is an apocalyptic number.

1014303304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014303304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127160000).

1014303304 is an abundant number, since it is smaller than the sum of its proper divisors (1240016696).

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

1014303304 is a wasteful number, since it uses less digits than its factorization.

1014303304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1014303304 is about 31848.1287362382. The cubic root of 1014303304 is about 1004.7452153155.

Adding to 1014303304 its reverse (4033034101), we get a palindrome (5047337405).

The spelling of 1014303304 in words is "one billion, fourteen million, three hundred three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 619 812 1009 1238 1624 2018 2476 4036 4333 4952 7063 8072 8666 14126 17332 17951 28252 29261 34664 35902 56504 58522 71804 117044 125657 143608 204827 234088 251314 409654 502628 624571 819308 1005256 1249142 1638616 2498284 4371997 4996568 8743994 17487988 18112559 34975976 36225118 72450236 126787913 144900472 253575826 507151652 1014303304