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3134104440 = 2335223117119
BaseRepresentation
bin1011101011001110…
…1010001101111000
322002102101000001020
42322303222031320
522404312320230
61234554422440
7140444306505
oct27263521570
98072330036
103134104440
111369136065
12735731a20
133ac40928c
1421a3544ac
15135233810
hexbacea378

3134104440 has 64 divisors (see below), whose sum is σ = 9444556800. Its totient is φ = 832006272.

The previous prime is 3134104417. The next prime is 3134104447. The reversal of 3134104440 is 444014313.

It is a super-2 number, since 2×31341044402 = 19645221281655427200, which contains 22 as substring.

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 3134104440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134104447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31800 + ... + 85319.

It is an arithmetic number, because the mean of its divisors is an integer number (147571200).

Almost surely, 23134104440 is an apocalyptic number.

3134104440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134104440 is an abundant number, since it is smaller than the sum of its proper divisors (6310452360).

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

3134104440 is a wasteful number, since it uses less digits than its factorization.

3134104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117356 (or 117352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3134104440 is about 55983.0727988380. The cubic root of 3134104440 is about 1463.4273081767.

Adding to 3134104440 its reverse (444014313), we get a palindrome (3578118753).

The spelling of 3134104440 in words is "three billion, one hundred thirty-four million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 8920 13380 26760 117119 234238 351357 468476 585595 702714 936952 1171190 1405428 1756785 2342380 2810856 3513570 4684760 7027140 14054280 26117537 52235074 78352611 104470148 130587685 156705222 208940296 261175370 313410444 391763055 522350740 626820888 783526110 1044701480 1567052220 3134104440