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3400043768 = 23111910631913
BaseRepresentation
bin1100101010101000…
…1000110011111000
322202221210010012222
43022222020303320
523430402400033
61321214423212
7150153616022
oct31252106370
98687703188
103400043768
111495266230
127aa801b08
1342253ca24
142437bd012
1514d765598
hexcaa88cf8

3400043768 has 64 divisors (see below), whose sum is σ = 7331385600. Its totient is φ = 1461991680.

The previous prime is 3400043767. The next prime is 3400043807. The reversal of 3400043768 is 8673400043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400043767) 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, 1776380 + ... + 1778292.

It is an arithmetic number, because the mean of its divisors is an integer number (114552900).

Almost surely, 23400043768 is an apocalyptic number.

3400043768 is a gapful number since it is divisible by the number (38) 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 3400043768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665692800).

3400043768 is an abundant number, since it is smaller than the sum of its proper divisors (3931341832).

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

3400043768 is a wasteful number, since it uses less digits than its factorization.

3400043768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 3400043768 is about 58309.8942547489. The cubic root of 3400043768 is about 1503.7010485013.

The spelling of 3400043768 in words is "three billion, four hundred million, forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1063 1672 1913 2126 3826 4252 7652 8504 11693 15304 20197 21043 23386 36347 40394 42086 46772 72694 80788 84172 93544 145388 161576 168344 222167 290776 399817 444334 799634 888668 1599268 1777336 2033519 3198536 4067038 8134076 16268152 22368709 38636861 44737418 77273722 89474836 154547444 178949672 309094888 425005471 850010942 1700021884 3400043768