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3412114024 = 231171737481
BaseRepresentation
bin1100101101100000…
…1011101001101000
322210210111100111111
43023120023221220
523442000122044
61322325240104
7150361330204
oct31330135150
98723440444
103412114024
1114a105a850
127b2863034
13424ba79a7
14245241b04
1514e84bb34
hexcb60ba68

3412114024 has 64 divisors (see below), whose sum is σ = 7175537280. Its totient is φ = 1507968000.

The previous prime is 3412114021. The next prime is 3412114033. The reversal of 3412114024 is 4204112143.

It is a happy number.

It is a super-2 number, since 2×34121140242 = 23285044225554945152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3412113986 and 3412114004.

It is not an unprimeable number, because it can be changed into a prime (3412114021) 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, 452364 + ... + 459844.

It is an arithmetic number, because the mean of its divisors is an integer number (112117770).

Almost surely, 23412114024 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 3412114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587768640).

3412114024 is an abundant number, since it is smaller than the sum of its proper divisors (3763423256).

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

3412114024 is a wasteful number, since it uses less digits than its factorization.

3412114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3412114024 is about 58413.3034847371. The cubic root of 3412114024 is about 1505.4783414180.

Adding to 3412114024 its reverse (4204112143), we get a palindrome (7616226167).

The spelling of 3412114024 in words is "three billion, four hundred twelve million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 71 73 88 142 146 284 292 568 584 781 803 1562 1606 3124 3212 5183 6248 6424 7481 10366 14962 20732 29924 41464 57013 59848 82291 114026 164582 228052 329164 456104 531151 546113 658328 1062302 1092226 2124604 2184452 4249208 4368904 5842661 6007243 11685322 12014486 23370644 24028972 38774023 46741288 48057944 77548046 155096092 310192184 426514253 853028506 1706057012 3412114024