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3134165472 = 2532233115263
BaseRepresentation
bin1011101011001111…
…1001000111100000
322002102111002202200
42322303321013200
522404321243342
61235000013200
7140444652444
oct27263710740
98072432680
103134165472
1113691779a9
12735761200
133ac42aca9
1421a36c824
1513524694c
hexbacf91e0

3134165472 has 144 divisors (see below), whose sum is σ = 9600933888. Its totient is φ = 967000320.

The previous prime is 3134165453. The next prime is 3134165479. The reversal of 3134165472 is 2745614313.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134165479) 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, 197713 + ... + 212975.

It is an arithmetic number, because the mean of its divisors is an integer number (66673152).

Almost surely, 23134165472 is an apocalyptic number.

3134165472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3134165472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800466944).

3134165472 is an abundant number, since it is smaller than the sum of its proper divisors (6466768416).

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

3134165472 is a wasteful number, since it uses less digits than its factorization.

3134165472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15322 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3134165472 is about 55983.6178895219. The cubic root of 3134165472 is about 1463.4368074683.

Adding to 3134165472 its reverse (2745614313), we get a palindrome (5879779785).

The spelling of 3134165472 in words is "three billion, one hundred thirty-four million, one hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 279 288 368 372 414 496 552 558 713 736 744 828 992 1104 1116 1426 1488 1656 2139 2208 2232 2852 2976 3312 4278 4464 5704 6417 6624 8556 8928 11408 12834 15263 17112 22816 25668 30526 34224 45789 51336 61052 68448 91578 102672 122104 137367 183156 205344 244208 274734 351049 366312 473153 488416 549468 702098 732624 946306 1053147 1098936 1404196 1419459 1465248 1892612 2106294 2197872 2808392 2838918 3159441 3785224 4212588 4258377 4395744 5616784 5677836 6318882 7570448 8425176 8516754 10882519 11233568 11355672 12637764 15140896 16850352 17033508 21765038 22711344 25275528 32647557 33700704 34067016 43530076 45422688 50551056 65295114 68134032 87060152 97942671 101102112 130590228 136268064 174120304 195885342 261180456 348240608 391770684 522360912 783541368 1044721824 1567082736 3134165472