Search a number
-
+
1012433340 = 2235311573467
BaseRepresentation
bin111100010110001…
…000000110111100
32121120001221110010
4330112020012330
54033140331330
6244243543220
734042353462
oct7426100674
92546057403
101012433340
1147a546176
1224308ab10
131319a14a9
1498666832
155dd3a3b0
hex3c5881bc

1012433340 has 96 divisors (see below), whose sum is σ = 2945746944. Its totient is φ = 259534080.

The previous prime is 1012433291. The next prime is 1012433353. The reversal of 1012433340 is 433342101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290287 + ... + 293753.

It is an arithmetic number, because the mean of its divisors is an integer number (30684864).

Almost surely, 21012433340 is an apocalyptic number.

1012433340 is a gapful number since it is divisible by the number (10) 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 1012433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472873472).

1012433340 is an abundant number, since it is smaller than the sum of its proper divisors (1933313604).

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

1012433340 is a wasteful number, since it uses less digits than its factorization.

1012433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1012433340 is about 31818.7576753084. The cubic root of 1012433340 is about 1004.1273878987.

Adding to 1012433340 its reverse (433342101), we get a palindrome (1445775441).

The spelling of 1012433340 in words is "one billion, twelve million, four hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 157 186 310 314 372 465 471 620 628 785 930 942 1570 1860 1884 2355 3140 3467 4710 4867 6934 9420 9734 10401 13868 14601 17335 19468 20802 24335 29202 34670 41604 48670 52005 58404 69340 73005 97340 104010 107477 146010 208020 214954 292020 322431 429908 537385 544319 644862 1074770 1088638 1289724 1612155 1632957 2149540 2177276 2721595 3224310 3265914 5443190 6448620 6531828 8164785 10886380 16329570 16873889 32659140 33747778 50621667 67495556 84369445 101243334 168738890 202486668 253108335 337477780 506216670 1012433340