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1333042434 = 23422935933
BaseRepresentation
bin100111101110100…
…1001110100000010
310102220100120110000
41033131021310002
510212224324214
6340135420430
745014450043
oct11735116402
93386316400
101333042434
11624516569
12312524716
13183236a09
14c90828ca
157c06a809
hex4f749d02

1333042434 has 40 divisors (see below), whose sum is σ = 3000129660. Its totient is φ = 442394784.

The previous prime is 1333042427. The next prime is 1333042453. The reversal of 1333042434 is 4342403331.

It can be written as a sum of positive squares in 2 ways, for example, as 1159198209 + 173844225 = 34047^2 + 13185^2 .

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 = 1333042398 and 1333042407.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19132 + ... + 55064.

Almost surely, 21333042434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333042434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500064830).

1333042434 is an abundant number, since it is smaller than the sum of its proper divisors (1667087226).

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

1333042434 is a wasteful number, since it uses less digits than its factorization.

1333042434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36176 (or 36167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 1333042434 is about 36510.8536465528. The cubic root of 1333042434 is about 1100.5623664400.

Adding to 1333042434 its reverse (4342403331), we get a palindrome (5675445765).

The spelling of 1333042434 in words is "one billion, three hundred thirty-three million, forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 458 687 1374 2061 4122 6183 12366 18549 35933 37098 71866 107799 215598 323397 646794 970191 1940382 2910573 5821146 8228657 16457314 24685971 49371942 74057913 148115826 222173739 444347478 666521217 1333042434