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3134200032 = 253261917581
BaseRepresentation
bin1011101011010000…
…0001100011100000
322002102112212011200
42322310001203200
522404323400112
61235000441200
7140445155265
oct27264014340
98072485150
103134200032
1113691a0967
12735779200
133ac440942
1421a37b26c
15135251cdc
hexbad018e0

3134200032 has 72 divisors (see below), whose sum is σ = 8927787960. Its totient is φ = 1042986240.

The previous prime is 3134200009. The next prime is 3134200057. The reversal of 3134200032 is 2300024313.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3134199978 and 3134200014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169482 + ... + 187062.

It is an arithmetic number, because the mean of its divisors is an integer number (123997055).

Almost surely, 23134200032 is an apocalyptic number.

3134200032 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 3134200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463893980).

3134200032 is an abundant number, since it is smaller than the sum of its proper divisors (5793587928).

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

3134200032 is a wasteful number, since it uses less digits than its factorization.

3134200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216 (or 18205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3134200032 is about 55983.9265503948. The cubic root of 3134200032 is about 1463.4421864855.

Adding to 3134200032 its reverse (2300024313), we get a palindrome (5434224345).

The spelling of 3134200032 in words is "three billion, one hundred thirty-four million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 17581 19808 22284 29712 35162 44568 52743 59424 70324 89136 105486 140648 158229 178272 210972 281296 316458 421944 562592 632916 843888 1265832 1687776 2531664 5063328 10882639 21765278 32647917 43530556 65295834 87061112 97943751 130591668 174122224 195887502 261183336 348244448 391775004 522366672 783550008 1044733344 1567100016 3134200032