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3412344144 = 2431150912697
BaseRepresentation
bin1100101101100100…
…0011110101010000
322210210221001011110
43023121003311100
523442030003034
61322334213320
7150363306126
oct31331036520
98723831143
103412344144
1114a11a7730
127b2954240
13424c58661
142452a1916
1514e894de9
hexcb643d50

3412344144 has 80 divisors (see below), whose sum is σ = 9636258240. Its totient is φ = 1031930880.

The previous prime is 3412344137. The next prime is 3412344167. The reversal of 3412344144 is 4414432143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262404 + ... + 275100.

It is an arithmetic number, because the mean of its divisors is an integer number (120453228).

Almost surely, 23412344144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818129120).

3412344144 is an abundant number, since it is smaller than the sum of its proper divisors (6223914096).

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

3412344144 is a wasteful number, since it uses less digits than its factorization.

3412344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13222 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3412344144 is about 58415.2732082972. The cubic root of 3412344144 is about 1505.5121848443.

Adding to 3412344144 its reverse (4414432143), we get a palindrome (7826776287).

The spelling of 3412344144 in words is "three billion, four hundred twelve million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 509 528 1018 1527 2036 3054 4072 5599 6108 8144 11198 12216 12697 16797 22396 24432 25394 33594 38091 44792 50788 67188 76182 89584 101576 134376 139667 152364 203152 268752 279334 304728 419001 558668 609456 838002 1117336 1676004 2234672 3352008 6462773 6704016 12925546 19388319 25851092 38776638 51702184 71090503 77553276 103404368 142181006 155106552 213271509 284362012 310213104 426543018 568724024 853086036 1137448048 1706172072 3412344144