Search a number
-
+
1012014344 = 2311311013673
BaseRepresentation
bin111100010100100…
…001110100001000
32121112021122200202
4330110201310020
54033033424334
6244230551332
734035660065
oct7424416410
92545248622
101012014344
1147a28a3a0
12242b08548
13131885873
1498597c6c
155dca617e
hex3c521d08

1012014344 has 64 divisors (see below), whose sum is σ = 2158548480. Its totient is φ = 440640000.

The previous prime is 1012014337. The next prime is 1012014349. The reversal of 1012014344 is 4434102101.

It is a super-3 number, since 3×10120143443 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012014349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273692 + ... + 277364.

It is an arithmetic number, because the mean of its divisors is an integer number (33727320).

Almost surely, 21012014344 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 1012014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079274240).

1012014344 is an abundant number, since it is smaller than the sum of its proper divisors (1146534136).

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

1012014344 is a wasteful number, since it uses less digits than its factorization.

1012014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1012014344 is about 31812.1728902632. The cubic root of 1012014344 is about 1003.9888492595.

Adding to 1012014344 its reverse (4434102101), we get a palindrome (5446116445).

The spelling of 1012014344 in words is "one billion, twelve million, fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 101 124 202 248 341 404 682 808 1111 1364 2222 2728 3131 3673 4444 6262 7346 8888 12524 14692 25048 29384 34441 40403 68882 80806 113863 137764 161612 227726 275528 323224 370973 455452 741946 910904 1252493 1483892 2504986 2967784 4080703 5009972 8161406 10019944 11500163 16322812 23000326 32645624 46000652 92001304 126501793 253003586 506007172 1012014344