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34892949 = 3721319312
BaseRepresentation
bin1000010100011…
…0110010010101
32102122202010110
42011012302111
532413033244
63243513233
7602404500
oct205066225
972582113
1034892949
1118772653
12b828819
1372c9120
1448c4137
1530e39b9
hex2146c95

34892949 has 72 divisors (see below), whose sum is σ = 63393120. Its totient is φ = 16873920.

The previous prime is 34892939. The next prime is 34892953. The reversal of 34892949 is 94929843.

It is not a de Polignac number, because 34892949 - 25 = 34892917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34892898 and 34892907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34892939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1125564 + ... + 1125594.

It is an arithmetic number, because the mean of its divisors is an integer number (880460).

Almost surely, 234892949 is an apocalyptic number.

34892949 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34892949 is a deficient number, since it is larger than the sum of its proper divisors (28500171).

34892949 is a wasteful number, since it uses less digits than its factorization.

34892949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 73 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 34892949 is about 5907.0253935462. The cubic root of 34892949 is about 326.7727943156.

The spelling of 34892949 in words is "thirty-four million, eight hundred ninety-two thousand, nine hundred forty-nine".

Divisors: 1 3 7 13 19 21 31 39 49 57 91 93 133 147 217 247 273 399 403 589 637 651 741 931 961 1209 1519 1729 1767 1911 2793 2821 2883 4123 4557 5187 6727 7657 8463 12103 12369 12493 18259 19747 20181 22971 28861 36309 37479 47089 53599 54777 59241 86583 87451 127813 141267 160797 237367 262353 375193 383439 612157 712101 894691 1125579 1661569 1836471 2684073 4984707 11630983 34892949