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1345333248 = 21132710427
BaseRepresentation
bin101000000110000…
…0010100000000000
310110202111000021100
41100030002200000
510223401130443
6341255054400
745224100240
oct12014024000
93422430240
101345333248
11630450866
12316671400
1318594b19c
14ca961b20
157d1973d3
hex50302800

1345333248 has 144 divisors (see below), whose sum is σ = 4441076640. Its totient is φ = 384344064.

The previous prime is 1345333237. The next prime is 1345333261. The reversal of 1345333248 is 8423335431.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123811 + ... + 134237.

It is an arithmetic number, because the mean of its divisors is an integer number (30840810).

Almost surely, 21345333248 is an apocalyptic number.

1345333248 is a gapful number since it is divisible by the number (18) 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 1345333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220538320).

1345333248 is an abundant number, since it is smaller than the sum of its proper divisors (3095743392).

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

1345333248 is a wasteful number, since it uses less digits than its factorization.

1345333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10462 (or 10439 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1345333248 is about 36678.7847126919. The cubic root of 1345333248 is about 1103.9344636585.

Adding to 1345333248 its reverse (8423335431), we get a palindrome (9768668679).

The spelling of 1345333248 in words is "one billion, three hundred forty-five million, three hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10427 10752 14336 16128 18432 20854 21504 31281 32256 41708 43008 62562 64512 72989 83416 93843 125124 129024 145978 166832 187686 218967 250248 291956 333664 375372 437934 500496 583912 656901 667328 750744 875868 1000992 1167824 1313802 1334656 1501488 1751736 2001984 2335648 2627604 2669312 3002976 3503472 4003968 4671296 5255208 5338624 6005952 7006944 8007936 9342592 10510416 10677248 12011904 14013888 16015872 18685184 21020832 21354496 24023808 28027776 32031744 37370368 42041664 48047616 56055552 64063488 74740736 84083328 96095232 112111104 149481472 168166656 192190464 224222208 336333312 448444416 672666624 1345333248