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1342333344 = 253112731583
BaseRepresentation
bin101000000000010…
…0110000110100000
310110112211121011210
41100000212012200
510222114131334
6341110510120
745156434202
oct12000460640
93415747153
101342333344
11629791a00
12315665340
1318513a8b1
14ca3c0772
157cca35e9
hex500261a0

1342333344 has 144 divisors (see below), whose sum is σ = 3928611456. Its totient is φ = 400942080.

The previous prime is 1342333309. The next prime is 1342333423. The reversal of 1342333344 is 4433332431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 847177 + ... + 848759.

It is an arithmetic number, because the mean of its divisors is an integer number (27282024).

Almost surely, 21342333344 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 1342333344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964305728).

1342333344 is an abundant number, since it is smaller than the sum of its proper divisors (2586278112).

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

1342333344 is a wasteful number, since it uses less digits than its factorization.

1342333344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1672 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

The square root of 1342333344 is about 36637.8676235394. The cubic root of 1342333344 is about 1103.1133134560.

Adding to 1342333344 its reverse (4433332431), we get a palindrome (5775665775).

The spelling of 1342333344 in words is "one billion, three hundred forty-two million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 121 132 146 176 219 242 264 292 352 363 438 484 528 584 726 803 876 968 1056 1168 1452 1583 1606 1752 1936 2336 2409 2904 3166 3212 3504 3872 4749 4818 5808 6332 6424 7008 8833 9498 9636 11616 12664 12848 17413 17666 18996 19272 25328 25696 26499 34826 35332 37992 38544 50656 52239 52998 69652 70664 75984 77088 104478 105996 115559 139304 141328 151968 191543 208956 211992 231118 278608 282656 346677 383086 417912 423984 462236 557216 574629 693354 766172 835824 847968 924472 1149258 1271149 1386708 1532344 1671648 1848944 2298516 2542298 2773416 3064688 3697888 3813447 4597032 5084596 5546832 6129376 7626894 9194064 10169192 11093664 13982639 15253788 18388128 20338384 27965278 30507576 40676768 41947917 55930556 61015152 83895834 111861112 122030304 167791668 223722224 335583336 447444448 671166672 1342333344