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3412141152 = 253710349297
BaseRepresentation
bin1100101101100001…
…0010010001100000
322210210112201201020
43023120102101200
523442002004102
61322330005440
7150361502250
oct31330222140
98723481636
103412141152
1114a1079172
127b2876880
13424bb7144
1424524b960
1514e854bbc
hexcb612460

3412141152 has 96 divisors (see below), whose sum is σ = 10336015872. Its totient is φ = 965412864.

The previous prime is 3412141151. The next prime is 3412141157. The reversal of 3412141152 is 2511412143.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412141151) 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, 44568 + ... + 93864.

It is an arithmetic number, because the mean of its divisors is an integer number (107666832).

Almost surely, 23412141152 is an apocalyptic number.

3412141152 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 3412141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168007936).

3412141152 is an abundant number, since it is smaller than the sum of its proper divisors (6923874720).

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

3412141152 is a wasteful number, since it uses less digits than its factorization.

3412141152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49420 (or 49412 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 3412141152 is about 58413.5356916528. The cubic root of 3412141152 is about 1505.4823311741.

Adding to 3412141152 its reverse (2511412143), we get a palindrome (5923553295).

The spelling of 3412141152 in words is "three billion, four hundred twelve million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 17304 23072 34608 49297 69216 98594 147891 197188 295782 345079 394376 591564 690158 788752 1035237 1183128 1380316 1577504 2070474 2366256 2760632 4140948 4732512 5077591 5521264 8281896 10155182 11042528 15232773 16563792 20310364 30465546 33127584 35543137 40620728 60931092 71086274 81241456 106629411 121862184 142172548 162482912 213258822 243724368 284345096 426517644 487448736 568690192 853035288 1137380384 1706070576 3412141152