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1348121472 = 2736167859
BaseRepresentation
bin101000001011010…
…1011001110000000
310110221201122222220
41100112223032000
510230104341342
6341434531040
745256562205
oct12026531600
93427648886
101348121472
11631a85685
12317596a80
131863b6319
14cb089cac
157d5485ec
hex505ab380

1348121472 has 128 divisors (see below), whose sum is σ = 3698275200. Its totient is φ = 434903040.

The previous prime is 1348121449. The next prime is 1348121479. The reversal of 1348121472 is 2741218431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348121479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568979 + ... + 1569837.

It is an arithmetic number, because the mean of its divisors is an integer number (28892775).

Almost surely, 21348121472 is an apocalyptic number.

1348121472 is a gapful number since it is divisible by the number (12) 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 1348121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849137600).

1348121472 is an abundant number, since it is smaller than the sum of its proper divisors (2350153728).

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

1348121472 is an equidigital number, since it uses as much as digits as its factorization.

1348121472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 1348121472 is about 36716.7737144755. The cubic root of 1348121472 is about 1104.6965778294.

The spelling of 1348121472 in words is "one billion, three hundred forty-eight million, one hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 67 96 122 128 134 183 192 201 244 268 366 384 402 488 536 732 804 859 976 1072 1464 1608 1718 1952 2144 2577 2928 3216 3436 3904 4087 4288 5154 5856 6432 6872 7808 8174 8576 10308 11712 12261 12864 13744 16348 20616 23424 24522 25728 27488 32696 41232 49044 52399 54976 57553 65392 82464 98088 104798 109952 115106 130784 157197 164928 172659 196176 209596 230212 261568 314394 329856 345318 392352 419192 460424 523136 628788 690636 784704 838384 920848 1257576 1381272 1569408 1676768 1841696 2515152 2762544 3353536 3510733 3683392 5030304 5525088 6707072 7021466 7366784 10060608 10532199 11050176 14042932 20121216 21064398 22100352 28085864 42128796 56171728 84257592 112343456 168515184 224686912 337030368 449373824 674060736 1348121472