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1268434332 = 2232113203117
BaseRepresentation
bin100101110011010…
…1100010110011100
310021101210010210100
41023212230112130
510044204344312
6325510541100
743301341164
oct11346542634
93241703710
101268434332
115a0aa8540
122b4967790
13172a35479
14c06655a4
15765575dc
hex4b9ac59c

1268434332 has 36 divisors (see below), whose sum is σ = 3497804856. Its totient is φ = 384373920.

The previous prime is 1268434331. The next prime is 1268434367. The reversal of 1268434332 is 2334348621.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268434331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1601163 + ... + 1601954.

It is an arithmetic number, because the mean of its divisors is an integer number (97161246).

Almost surely, 21268434332 is an apocalyptic number.

1268434332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1268434332 is an abundant number, since it is smaller than the sum of its proper divisors (2229370524).

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

1268434332 is a wasteful number, since it uses less digits than its factorization.

1268434332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203138 (or 3203133 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1268434332 is about 35615.0857362438. The cubic root of 1268434332 is about 1082.4869335113.

It can be divided in two parts, 1268 and 434332, that added together give a square (435600 = 6602).

The spelling of 1268434332 in words is "one billion, two hundred sixty-eight million, four hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 3203117 6406234 9609351 12812468 19218702 28828053 35234287 38437404 57656106 70468574 105702861 115312212 140937148 211405722 317108583 422811444 634217166 1268434332