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134323431 = 31123773137
BaseRepresentation
bin10000000000110…
…01110011100111
3100100202100002220
420000121303213
5233341322211
621155003423
73220505334
oct1000316347
9310670086
10134323431
1169905200
1238b99573
1321aa0628
1413ba798b
15bbd4806
hex8019ce7

134323431 has 48 divisors (see below), whose sum is σ = 206445792. Its totient is φ = 77552640.

The previous prime is 134323411. The next prime is 134323459.

134323431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134323431 - 27 = 134323303 is a prime.

It is a super-2 number, since 2×1343234312 = 36085568231223522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134323411) 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, 980395 + ... + 980531.

It is an arithmetic number, because the mean of its divisors is an integer number (4300954).

Almost surely, 2134323431 is an apocalyptic number.

134323431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134323431 is a deficient number, since it is larger than the sum of its proper divisors (72122361).

134323431 is a wasteful number, since it uses less digits than its factorization.

134323431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 134323431 is about 11589.7985746086. The cubic root of 134323431 is about 512.1343730461.

The spelling of 134323431 in words is "one hundred thirty-four million, three hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 11 33 37 73 111 121 137 219 363 407 411 803 1221 1507 2409 2701 4477 4521 5069 8103 8833 10001 13431 15207 16577 26499 29711 30003 49731 55759 89133 110011 167277 326821 330033 370037 613349 980463 1110111 1210121 1840047 3630363 4070407 12211221 44774477 134323431