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1013314344 = 2337411311123
BaseRepresentation
bin111100011001011…
…111001100101000
32121121201200221220
4330121133030220
54033402024334
6244314502040
734053013140
oct7431371450
92547650856
101013314344
1147aa98079
12243434920
13131c1c4b3
1498815920
155de61449
hex3c65f328

1013314344 has 128 divisors (see below), whose sum is σ = 2991098880. Its totient is φ = 280051200.

The previous prime is 1013314339. The next prime is 1013314349. The reversal of 1013314344 is 4434133101.

It is an interprime number because it is at equal distance from previous prime (1013314339) and next prime (1013314349).

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

It is not an unprimeable number, because it can be changed into a prime (1013314349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901767 + ... + 902889.

It is an arithmetic number, because the mean of its divisors is an integer number (23367960).

Almost surely, 21013314344 is an apocalyptic number.

1013314344 is a gapful number since it is divisible by the number (14) 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 1013314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495549440).

1013314344 is an abundant number, since it is smaller than the sum of its proper divisors (1977784536).

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

1013314344 is a wasteful number, since it uses less digits than its factorization.

1013314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1013314344 is about 31832.5987629034. The cubic root of 1013314344 is about 1004.4185622190.

Adding to 1013314344 its reverse (4434133101), we get a palindrome (5447447445).

The spelling of 1013314344 in words is "one billion, thirteen million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 131 164 168 246 262 287 328 393 492 524 574 786 861 917 984 1048 1123 1148 1572 1722 1834 2246 2296 2751 3144 3369 3444 3668 4492 5371 5502 6738 6888 7336 7861 8984 10742 11004 13476 15722 16113 21484 22008 23583 26952 31444 32226 37597 42968 46043 47166 62888 64452 75194 92086 94332 112791 128904 138129 147113 150388 184172 188664 225582 276258 294226 300776 322301 368344 441339 451164 552516 588452 644602 882678 902328 966903 1029791 1105032 1176904 1289204 1765356 1933806 2059582 2578408 3089373 3530712 3867612 4119164 6031633 6178746 7735224 8238328 12063266 12357492 18094899 24126532 24714984 36189798 42221431 48253064 72379596 84442862 126664293 144759192 168885724 253328586 337771448 506657172 1013314344