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3136343430 = 2351117727769
BaseRepresentation
bin1011101011110000…
…1100110110000110
322002120120202100210
42322330030312012
522410400442210
61235114420250
7140502323253
oct27274146606
98076522323
103136343430
11136a425270
12736431686
133aca1141c
1421a77842a
15135526e20
hexbaf0cd86

3136343430 has 128 divisors (see below), whose sum is σ = 8717829120. Its totient is φ = 713687040.

The previous prime is 3136343407. The next prime is 3136343477. The reversal of 3136343430 is 343436313.

It is a super-3 number, since 3×31363434303 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4078086 + ... + 4078854.

It is an arithmetic number, because the mean of its divisors is an integer number (68108040).

Almost surely, 23136343430 is an apocalyptic number.

3136343430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136343430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

3136343430 is an abundant number, since it is smaller than the sum of its proper divisors (5581485690).

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

3136343430 is a wasteful number, since it uses less digits than its factorization.

3136343430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534.

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3136343430 is about 56003.0662553400. The cubic root of 3136343430 is about 1463.7757138343.

Adding to 3136343430 its reverse (343436313), we get a palindrome (3479779743).

The spelling of 3136343430 in words is "three billion, one hundred thirty-six million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 727 769 935 1122 1454 1538 1870 2181 2307 2805 3635 3845 4362 4614 5610 7270 7690 7997 8459 10905 11535 12359 13073 15994 16918 21810 23070 23991 24718 25377 26146 37077 39219 39985 42295 47982 50754 61795 65365 74154 78438 79970 84590 119955 123590 126885 130730 135949 143803 185385 196095 239910 253770 271898 287606 370770 392190 407847 431409 559063 679745 719015 815694 862818 1118126 1359490 1438030 1677189 2039235 2157045 2795315 3354378 4078470 4314090 5590630 6149693 8385945 9504071 12299386 16771890 18449079 19008142 28512213 30748465 36898158 47520355 57024426 61496930 92245395 95040710 104544781 142561065 184490790 209089562 285122130 313634343 522723905 627268686 1045447810 1568171715 3136343430