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1304148924 = 22361334403
BaseRepresentation
bin100110110111011…
…1011101110111100
310100212222122000000
41031232323232330
510132330231144
6333224234300
744214040311
oct11556735674
93325878000
101304148924
1160a181431
1230490b990
1317a25b570
14c52c0d08
157975e769
hex4dbbbbbc

1304148924 has 84 divisors (see below), whose sum is σ = 3685150056. Its totient is φ = 401264928.

The previous prime is 1304148919. The next prime is 1304148929. The reversal of 1304148924 is 4298414031.

It is a happy number.

1304148924 is a `hidden beast` number, since 130 + 41 + 489 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1304148919) and next prime (1304148929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304148929) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20707 + ... + 55109.

It is an arithmetic number, because the mean of its divisors is an integer number (43870834).

Almost surely, 21304148924 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 1304148924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842575028).

1304148924 is an abundant number, since it is smaller than the sum of its proper divisors (2381001132).

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

1304148924 is a wasteful number, since it uses less digits than its factorization.

1304148924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34438 (or 34421 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1304148924 is about 36113.0021460415. The cubic root of 1304148924 is about 1092.5527029403.

The spelling of 1304148924 in words is "one billion, three hundred four million, one hundred forty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18954 34403 37908 68806 103209 137612 206418 309627 412836 447239 619254 894478 928881 1238508 1341717 1788956 1857762 2683434 2786643 3715524 4025151 5366868 5573286 8050302 8359929 11146572 12075453 16100604 16719858 24150906 25079787 33439716 36226359 48301812 50159574 72452718 100319148 108679077 144905436 217358154 326037231 434716308 652074462 1304148924