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1013401344 = 28323103557
BaseRepresentation
bin111100011001110…
…100011100000000
32121121220010022010
4330121310130000
54033412320334
6244320412520
734053524604
oct7431643400
92547803263
101013401344
1148004747a
12243477140
13131c4cc87
1498839504
155de7c0e9
hex3c674700

1013401344 has 144 divisors (see below), whose sum is σ = 2846817792. Its totient is φ = 319401984.

The previous prime is 1013401343. The next prime is 1013401349. The reversal of 1013401344 is 4431043101.

It is a self number, because there is not a number n which added to its sum of digits gives 1013401344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013401343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1819114 + ... + 1819670.

It is an arithmetic number, because the mean of its divisors is an integer number (19769568).

Almost surely, 21013401344 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 1013401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423408896).

1013401344 is an abundant number, since it is smaller than the sum of its proper divisors (1833416448).

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

1013401344 is a wasteful number, since it uses less digits than its factorization.

1013401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1013401344 is about 31833.9652572531. The cubic root of 1013401344 is about 1004.4473068084.

Adding to 1013401344 its reverse (4431043101), we get a palindrome (5444444445).

The spelling of 1013401344 in words is "one billion, thirteen million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 103 128 138 184 192 206 256 276 309 368 384 412 552 557 618 736 768 824 1104 1114 1236 1472 1648 1671 2208 2228 2369 2472 2944 3296 3342 4416 4456 4738 4944 5888 6592 6684 7107 8832 8912 9476 9888 12811 13184 13368 14214 17664 17824 18952 19776 25622 26368 26736 28428 35648 37904 38433 39552 51244 53472 56856 57371 71296 75808 76866 79104 102488 106944 113712 114742 142592 151616 153732 172113 204976 213888 227424 229484 303232 307464 344226 409952 427776 454848 458968 606464 614928 688452 819904 909696 917936 1229856 1319533 1376904 1639808 1819392 1835872 2459712 2639066 2753808 3279616 3671744 3958599 4919424 5278132 5507616 7343488 7917198 9838848 10556264 11015232 14686976 15834396 21112528 22030464 31668792 42225056 44060928 63337584 84450112 126675168 168900224 253350336 337800448 506700672 1013401344