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734536134 = 233312271933
BaseRepresentation
bin101011110010000…
…010000111000110
31220012011022011000
4223302002013012
53001020124014
6200515354130
724126311523
oct5362020706
91805138130
10734536134
11347698962
12185bb2946
13b9241c87
146d7a814a
1544745509
hex2bc821c6

734536134 has 64 divisors (see below), whose sum is σ = 1693255680. Its totient is φ = 235781280.

The previous prime is 734536133. The next prime is 734536151. The reversal of 734536134 is 431635437.

734536134 is a `hidden beast` number, since 7 + 34 + 5 + 3 + 613 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734536133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379032 + ... + 380964.

It is an arithmetic number, because the mean of its divisors is an integer number (26457120).

Almost surely, 2734536134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734536134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846627840).

734536134 is an abundant number, since it is smaller than the sum of its proper divisors (958719546).

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

734536134 is a wasteful number, since it uses less digits than its factorization.

734536134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 734536134 is about 27102.3270956573. The cubic root of 734536134 is about 902.2725015446.

The spelling of 734536134 in words is "seven hundred thirty-four million, five hundred thirty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 227 279 454 558 681 837 1362 1674 1933 2043 3866 4086 5799 6129 7037 11598 12258 14074 17397 21111 34794 42222 52191 59923 63333 104382 119846 126666 179769 189999 359538 379998 438791 539307 877582 1078614 1316373 1617921 2632746 3235842 3949119 7898238 11847357 13602521 23694714 27205042 40807563 81615126 122422689 244845378 367268067 734536134