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1014421304 = 231337477179
BaseRepresentation
bin111100011101101…
…101011100111000
32121200210221102102
4330131231130320
54034142440204
6244354322532
734065303341
oct7435553470
92550727372
101014421304
11480683816
12243889448
131322192c0
1498a230c8
155e0ce41e
hex3c76d738

1014421304 has 128 divisors (see below), whose sum is σ = 2206310400. Its totient is φ = 434004480.

The previous prime is 1014421301. The next prime is 1014421319. The reversal of 1014421304 is 4031244101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014421301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12840737 + ... + 12840815.

It is an arithmetic number, because the mean of its divisors is an integer number (17236800).

Almost surely, 21014421304 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 1014421304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

1014421304 is an abundant number, since it is smaller than the sum of its proper divisors (1191889096).

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

1014421304 is a wasteful number, since it uses less digits than its factorization.

1014421304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1014421304 is about 31849.9812244843. The cubic root of 1014421304 is about 1004.7841764880.

Adding to 1014421304 its reverse (4031244101), we get a palindrome (5045665405).

The spelling of 1014421304 in words is "one billion, fourteen million, four hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 37 47 52 71 74 79 94 104 142 148 158 188 284 296 316 376 481 568 611 632 923 962 1027 1222 1739 1846 1924 2054 2444 2627 2923 3337 3478 3692 3713 3848 4108 4888 5254 5609 5846 6674 6956 7384 7426 8216 10508 11218 11692 13348 13912 14852 21016 22436 22607 23384 26696 29704 34151 37999 43381 44872 45214 48269 68302 72917 75998 86762 90428 96538 123469 136604 137381 145834 151996 173524 180856 193076 207533 246938 263623 273208 274762 291668 303992 347048 386152 415066 493876 527246 549524 583336 830132 987752 1054492 1099048 1605097 1660264 1785953 2108984 2697929 3210194 3427099 3571906 5395858 6420388 6854198 7143812 9754051 10791716 12840776 13708396 14287624 19508102 21583432 27416792 39016204 78032408 126802663 253605326 507210652 1014421304