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1000345344 = 28361131163
BaseRepresentation
bin111011101000000…
…000111100000000
32120201022210211120
4323220000330000
54022042022334
6243132512240
733534536505
oct7350007400
92521283746
101000345344
1147373a299
1223b01b680
1312c32b42b
1496bdb4ac
155cc4d949
hex3ba00f00

1000345344 has 144 divisors (see below), whose sum is σ = 2743407744. Its totient is φ = 323481600.

The previous prime is 1000345337. The next prime is 1000345361. The reversal of 1000345344 is 4435430001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6137007 + ... + 6137169.

Almost surely, 21000345344 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 1000345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371703872).

1000345344 is an abundant number, since it is smaller than the sum of its proper divisors (1743062400).

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

1000345344 is a wasteful number, since it uses less digits than its factorization.

1000345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1000345344 is about 31628.2364984202. The cubic root of 1000345344 is about 1000.1151014178.

Adding to 1000345344 its reverse (4435430001), we get a palindrome (5435775345).

The spelling of 1000345344 in words is "one billion, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 131 163 183 192 244 256 262 326 366 384 393 488 489 524 652 732 768 786 976 978 1048 1304 1464 1572 1952 1956 2096 2608 2928 3144 3904 3912 4192 5216 5856 6288 7808 7824 7991 8384 9943 10432 11712 12576 15616 15648 15982 16768 19886 20864 21353 23424 23973 25152 29829 31296 31964 33536 39772 41728 42706 46848 47946 50304 59658 62592 63928 64059 79544 85412 95892 100608 119316 125184 127856 128118 159088 170824 191784 238632 255712 256236 318176 341648 383568 477264 511424 512472 636352 683296 767136 954528 1022848 1024944 1272704 1302533 1366592 1534272 1909056 2045696 2049888 2545408 2605066 2733184 3068544 3818112 3907599 4099776 5210132 5466368 6137088 7636224 7815198 8199552 10420264 15630396 16399104 20840528 31260792 41681056 62521584 83362112 125043168 166724224 250086336 333448448 500172672 1000345344