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1014401304 = 233274346807
BaseRepresentation
bin111100011101101…
…000100100011000
32121200202220222200
4330131220210120
54034141320204
6244354050200
734065161130
oct7435504430
92550686880
101014401304
1148066a794
12243879960
13132210177
1498a19ac0
155e0c8539
hex3c768918

1014401304 has 96 divisors (see below), whose sum is σ = 3212901120. Its totient is φ = 283082688.

The previous prime is 1014401303. The next prime is 1014401309. The reversal of 1014401304 is 4031044101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014401303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732 + ... + 45075.

It is an arithmetic number, because the mean of its divisors is an integer number (33467720).

Almost surely, 21014401304 is an apocalyptic number.

1014401304 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 1014401304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606450560).

1014401304 is an abundant number, since it is smaller than the sum of its proper divisors (2198499816).

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

1014401304 is a wasteful number, since it uses less digits than its factorization.

1014401304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46869 (or 46862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014401304 is about 31849.6672510091. The cubic root of 1014401304 is about 1004.7775731121. Note that the first 3 decimals are identical.

Adding to 1014401304 its reverse (4031044101), we get a palindrome (5045445405).

The spelling of 1014401304 in words is "one billion, fourteen million, four hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21672 46807 93614 140421 187228 280842 327649 374456 421263 561684 655298 842526 982947 1123368 1310596 1685052 1965894 2012701 2621192 2948841 3370104 3931788 4025402 5897682 6038103 7863576 8050804 11795364 12076206 14088907 16101608 18114309 23590728 24152412 28177814 36228618 42266721 48304824 56355628 72457236 84533442 112711256 126800163 144914472 169066884 253600326 338133768 507200652 1014401304