Search a number
-
+
1334141334 = 233172531613
BaseRepresentation
bin100111110000101…
…0110000110010110
310102222102101212000
41033201112012112
510213020010314
6340215140130
745030004611
oct11741260626
93388371760
101334141334
116250a7149
12312974646
1318352cc56
14c928b178
157c1d6209
hex4f856196

1334141334 has 96 divisors (see below), whose sum is σ = 3210827040. Its totient is φ = 410402304.

The previous prime is 1334141329. The next prime is 1334141339. The reversal of 1334141334 is 4331414331.

It is an interprime number because it is at equal distance from previous prime (1334141329) and next prime (1334141339).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1334141298 and 1334141307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334141339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826312 + ... + 827924.

It is an arithmetic number, because the mean of its divisors is an integer number (33446115).

Almost surely, 21334141334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334141334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605413520).

1334141334 is an abundant number, since it is smaller than the sum of its proper divisors (1876685706).

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

1334141334 is a wasteful number, since it uses less digits than its factorization.

1334141334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1688 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 1334141334 is about 36525.8994961110. The cubic root of 1334141334 is about 1100.8647013542.

Adding to 1334141334 its reverse (4331414331), we get a palindrome (5665555665).

The spelling of 1334141334 in words is "one billion, three hundred thirty-four million, one hundred forty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 289 306 318 459 477 578 867 901 918 954 1431 1613 1734 1802 2601 2703 2862 3226 4839 5202 5406 7803 8109 9678 14517 15317 15606 16218 24327 27421 29034 30634 43551 45951 48654 54842 82263 85489 87102 91902 137853 164526 170978 246789 256467 275706 413559 466157 493578 512934 740367 769401 827118 932314 1398471 1453313 1480734 1538802 2308203 2796942 2906626 4195413 4359939 4616406 8390826 8719878 12586239 13079817 24706321 25172478 26159634 39239451 49412642 74118963 78478902 148237926 222356889 444713778 667070667 1334141334