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1308870144 = 2933731297
BaseRepresentation
bin100111000000011…
…1100011000000000
310101012212111022000
41032000330120000
510140032321034
6333513344000
744302132641
oct11600743000
93335774260
101308870144
1161190656a
12306408000
1317b22249a
14c5b8d6c8
1579d93599
hex4e03c600

1308870144 has 160 divisors (see below), whose sum is σ = 3930447840. Its totient is φ = 429981696.

The previous prime is 1308870097. The next prime is 1308870169. The reversal of 1308870144 is 4410788031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1308870099 and 1308870108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008504 + ... + 1009800.

It is an arithmetic number, because the mean of its divisors is an integer number (24565299).

Almost surely, 21308870144 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 1308870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965223920).

1308870144 is an abundant number, since it is smaller than the sum of its proper divisors (2621577696).

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

1308870144 is an equidigital number, since it uses as much as digits as its factorization.

1308870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1308870144 is about 36178.3104083096. The cubic root of 1308870144 is about 1093.8695182199.

The spelling of 1308870144 in words is "one billion, three hundred eight million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 512 576 584 657 768 864 876 1152 1168 1297 1314 1536 1728 1752 1971 2304 2336 2594 2628 3456 3504 3891 3942 4608 4672 5188 5256 6912 7008 7782 7884 9344 10376 10512 11673 13824 14016 15564 15768 18688 20752 21024 23346 28032 31128 31536 35019 37376 41504 42048 46692 56064 62256 63072 70038 83008 84096 93384 94681 112128 124512 126144 140076 166016 168192 186768 189362 249024 252288 280152 284043 332032 336384 373536 378724 498048 504576 560304 568086 664064 747072 757448 852129 996096 1009152 1120608 1136172 1494144 1514896 1704258 1992192 2241216 2272344 2556387 2988288 3029792 3408516 4482432 4544688 5112774 5976576 6059584 6817032 8964864 9089376 10225548 12119168 13634064 17929728 18178752 20451096 24238336 27268128 36357504 40902192 48476672 54536256 72715008 81804384 109072512 145430016 163608768 218145024 327217536 436290048 654435072 1308870144