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1434346524 = 2232134017643
BaseRepresentation
bin101010101111110…
…0110010000011100
310200221222100112100
41111133212100130
510414143042044
6354155005100
750354513202
oct12537462034
93627870470
101434346524
11676718856
12340439790
1319b215c70
14d86d3072
1585dcb869
hex557e641c

1434346524 has 72 divisors (see below), whose sum is σ = 3914859312. Its totient is φ = 440179200.

The previous prime is 1434346523. The next prime is 1434346541. The reversal of 1434346524 is 4256434341.

1434346524 is a `hidden beast` number, since 143 + 434 + 65 + 24 = 666.

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 (1434346523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183847 + ... + 191489.

It is an arithmetic number, because the mean of its divisors is an integer number (54373046).

Almost surely, 21434346524 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 1434346524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957429656).

1434346524 is an abundant number, since it is smaller than the sum of its proper divisors (2480512788).

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

1434346524 is a wasteful number, since it uses less digits than its factorization.

1434346524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8067 (or 8062 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 1434346524 is about 37872.7675777728. The cubic root of 1434346524 is about 1127.7634840617.

The spelling of 1434346524 in words is "one billion, four hundred thirty-four million, three hundred forty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 802 1203 1604 2406 3609 4812 5213 7218 7643 10426 14436 15286 15639 20852 22929 30572 31278 45858 46917 62556 68787 91716 93834 99359 137574 187668 198718 275148 298077 397436 596154 894231 1192308 1788462 3064843 3576924 6129686 9194529 12259372 18389058 27583587 36778116 39842959 55167174 79685918 110334348 119528877 159371836 239057754 358586631 478115508 717173262 1434346524