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1344334848 = 21032391831
BaseRepresentation
bin101000000100000…
…1110110000000000
310110200121021201120
41100020032300000
510223122203343
6341221432240
745212441403
oct12010166000
93420537646
101344334848
1162a92973a
1231626b680
1318568b90c
14ca781d3a
157d04b683
hex5020ec00

1344334848 has 88 divisors (see below), whose sum is σ = 3600099840. Its totient is φ = 445992960.

The previous prime is 1344334841. The next prime is 1344334861. The reversal of 1344334848 is 8484334431.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1344334841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733293 + ... + 735123.

Almost surely, 21344334848 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 1344334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800049920).

1344334848 is an abundant number, since it is smaller than the sum of its proper divisors (2255764992).

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

1344334848 is a wasteful number, since it uses less digits than its factorization.

1344334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2075 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 1344334848 is about 36665.1721392386. The cubic root of 1344334848 is about 1103.6613117759.

The spelling of 1344334848 in words is "one billion, three hundred forty-four million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 512 717 768 956 1024 1434 1536 1831 1912 2868 3072 3662 3824 5493 5736 7324 7648 10986 11472 14648 15296 21972 22944 29296 30592 43944 45888 58592 61184 87888 91776 117184 122368 175776 183552 234368 244736 351552 367104 437609 468736 703104 734208 875218 937472 1312827 1406208 1750436 1874944 2625654 2812416 3500872 5251308 5624832 7001744 10502616 14003488 21005232 28006976 42010464 56013952 84020928 112027904 168041856 224055808 336083712 448111616 672167424 1344334848