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3114346752 = 28331140961
BaseRepresentation
bin1011100110100001…
…0010100100000000
322001001012012121000
42321220102210000
522334233044002
61233011132000
7140114340066
oct27150224400
98031165530
103114346752
111358a708a0
1272aba4000
133a82ac23a
14217890036
1513362e61c
hexb9a12900

3114346752 has 144 divisors (see below), whose sum is σ = 10047159360. Its totient is φ = 943718400.

The previous prime is 3114346747. The next prime is 3114346771. The reversal of 3114346752 is 2576434113.

3114346752 is a `hidden beast` number, since 3 + 1 + 143 + 467 + 52 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55552 + ... + 96512.

It is an arithmetic number, because the mean of its divisors is an integer number (69771940).

Almost surely, 23114346752 is an apocalyptic number.

3114346752 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 3114346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023579680).

3114346752 is an abundant number, since it is smaller than the sum of its proper divisors (6932812608).

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

3114346752 is a wasteful number, since it uses less digits than its factorization.

3114346752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40997 (or 40977 counting only the distinct ones).

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

The square root of 3114346752 is about 55806.3325438968. The cubic root of 3114346752 is about 1460.3456290621.

It can be divided in two parts, 3114 and 346752, that added together give a triangular number (349866 = T836).

The spelling of 3114346752 in words is "three billion, one hundred fourteen million, three hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 38016 40961 76032 81922 122883 163844 245766 327688 368649 450571 491532 655376 737298 901142 983064 1105947 1310752 1351713 1474596 1802284 1966128 2211894 2621504 2703426 2949192 3604568 3932256 4055139 4423788 5243008 5406852 5898384 7209136 7864512 8110278 8847576 10486016 10813704 11796768 12165417 14418272 15729024 16220556 17695152 21627408 23593536 24330834 28836544 31458048 32441112 35390304 43254816 47187072 48661668 57673088 64882224 70780608 86509632 94374144 97323336 115346176 129764448 141561216 173019264 194646672 259528896 283122432 346038528 389293344 519057792 778586688 1038115584 1557173376 3114346752