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3234411312 = 2431123731493
BaseRepresentation
bin1100000011001001…
…0011001100110000
322100102010010012120
43000302103030300
523111002130222
61252540354240
7143103020406
oct30062231460
98312103176
103234411312
11140a817100
12763245980
133c7129662
142297c5476
1513de4915c
hexc0c93330

3234411312 has 120 divisors (see below), whose sum is σ = 9215003952. Its totient is φ = 976842240.

The previous prime is 3234411311. The next prime is 3234411377. The reversal of 3234411312 is 2131144323.

It is a happy number.

It is a super-2 number, since 2×32344113122 = 20922833070387122688, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (3234411311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2165638 + ... + 2167130.

Almost surely, 23234411312 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 3234411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607501976).

3234411312 is an abundant number, since it is smaller than the sum of its proper divisors (5980592640).

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

3234411312 is a wasteful number, since it uses less digits than its factorization.

3234411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1882 counting only the distinct ones).

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

The square root of 3234411312 is about 56871.8850751406. The cubic root of 3234411312 is about 1478.8759592805.

Adding to 3234411312 its reverse (2131144323), we get a palindrome (5365555635).

The spelling of 3234411312 in words is "three billion, two hundred thirty-four million, four hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 373 484 528 726 746 968 1119 1452 1492 1493 1936 2238 2904 2984 2986 4103 4476 4479 5808 5968 5972 8206 8952 8958 11944 12309 16412 16423 17904 17916 23888 24618 32824 32846 35832 45133 49236 49269 65648 65692 71664 90266 98472 98538 131384 135399 180532 180653 196944 197076 262768 270798 361064 361306 394152 541596 541959 556889 722128 722612 788304 1083192 1083918 1113778 1445224 1670667 2166384 2167836 2227556 2890448 3341334 4335672 4455112 6125779 6682668 8671344 8910224 12251558 13365336 18377337 24503116 26730672 36754674 49006232 67383569 73509348 98012464 134767138 147018696 202150707 269534276 294037392 404301414 539068552 808602828 1078137104 1617205656 3234411312