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3134234040 = 233572533033
BaseRepresentation
bin1011101011010000…
…1001110110111000
322002102121120211020
42322310021312320
522404330442130
61235001302440
7140445356400
oct27264116670
98072546736
103134234040
111369214473
12735794a20
133ac453272
1421a389800
1513525be10
hexbad09db8

3134234040 has 96 divisors (see below), whose sum is σ = 10937857680. Its totient is φ = 716395008.

The previous prime is 3134234039. The next prime is 3134234041. The reversal of 3134234040 is 404324313.

It is an interprime number because it is at equal distance from previous prime (3134234039) and next prime (3134234041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3134234040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134234041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260637 + ... + 272396.

Almost surely, 23134234040 is an apocalyptic number.

3134234040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134234040 is an abundant number, since it is smaller than the sum of its proper divisors (7803623640).

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

3134234040 is a wasteful number, since it uses less digits than its factorization.

3134234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533061 (or 533050 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3134234040 is about 55984.2302796064. The cubic root of 3134234040 is about 1463.4474795493.

Adding to 3134234040 its reverse (404324313), we get a palindrome (3538558353).

The spelling of 3134234040 in words is "three billion, one hundred thirty-four million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 533033 1066066 1599099 2132132 2665165 3198198 3731231 4264264 5330330 6396396 7462462 7995495 10660660 11193693 12792792 14924924 15990990 18656155 21321320 22387386 26118617 29849848 31981980 37312310 44774772 52237234 55968465 63963960 74624620 78355851 89549544 104474468 111936930 130593085 149249240 156711702 208948936 223873860 261186170 313423404 391779255 447747720 522372340 626846808 783558510 1044744680 1567117020 3134234040