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3411144330 = 2351137337829
BaseRepresentation
bin1100101101010001…
…1110111010001010
322210201200002022220
43023110132322022
523441223104310
61322252354510
7150350151126
oct31324367212
98721602286
103411144330
1114a0558250
127b2475a36
134249284c9
1424506c586
1514e709670
hexcb51ee8a

3411144330 has 128 divisors (see below), whose sum is σ = 9210689280. Its totient is φ = 801239040.

The previous prime is 3411144323. The next prime is 3411144353. The reversal of 3411144330 is 334411143.

It is a super-2 number, since 2×34111443302 = 23271811280182297800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3411144330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4114356 + ... + 4115184.

It is an arithmetic number, because the mean of its divisors is an integer number (71958510).

Almost surely, 23411144330 is an apocalyptic number.

3411144330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605344640).

3411144330 is an abundant number, since it is smaller than the sum of its proper divisors (5799544950).

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

3411144330 is a wasteful number, since it uses less digits than its factorization.

3411144330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3411144330 is about 58405.0026110778. The cubic root of 3411144330 is about 1505.3357131609.

Adding to 3411144330 its reverse (334411143), we get a palindrome (3745555473).

It can be divided in two parts, 3411 and 144330, that added together give a palindrome (147741).

The spelling of 3411144330 in words is "three billion, four hundred eleven million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 337 370 407 555 674 814 829 1011 1110 1221 1658 1685 2022 2035 2442 2487 3370 3707 4070 4145 4974 5055 6105 7414 8290 9119 10110 11121 12210 12435 12469 18238 18535 22242 24870 24938 27357 30673 37070 37407 45595 54714 55605 61346 62345 74814 91190 92019 111210 124690 136785 137159 153365 184038 187035 273570 274318 279373 306730 337403 374070 411477 460095 558746 674806 685795 822954 838119 920190 1012209 1371590 1396865 1676238 1687015 2024418 2057385 2793730 3073103 3374030 4114770 4190595 5061045 6146206 8381190 9219309 10122090 10336801 15365515 18438618 20673602 30731030 31010403 46096545 51684005 62020806 92193090 103368010 113704811 155052015 227409622 310104030 341114433 568524055 682228866 1137048110 1705572165 3411144330