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3432241104 = 243716191627
BaseRepresentation
bin1100110010010011…
…1101011111010000
322212012100220122220
43030210331133100
524012123203404
61324324501040
7151024365555
oct31444753720
98765326586
103432241104
1115014575a6
127b954a780
13429103bc6
14247ba0a2c
151514c54d9
hexcc93d7d0

3432241104 has 80 divisors (see below), whose sum is σ = 9011566080. Its totient is φ = 1125452160.

The previous prime is 3432241081. The next prime is 3432241121. The reversal of 3432241104 is 4011422343.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2108739 + ... + 2110365.

It is an arithmetic number, because the mean of its divisors is an integer number (112644576).

Almost surely, 23432241104 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 3432241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505783040).

3432241104 is an abundant number, since it is smaller than the sum of its proper divisors (5579324976).

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

3432241104 is a wasteful number, since it uses less digits than its factorization.

3432241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3432241104 is about 58585.3318160783. The cubic root of 3432241104 is about 1508.4326681246.

Adding to 3432241104 its reverse (4011422343), we get a palindrome (7443663447).

The spelling of 3432241104 in words is "three billion, four hundred thirty-two million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 619 852 1136 1238 1627 1704 1857 2476 3254 3408 3714 4881 4952 6508 7428 9762 9904 13016 14856 19524 26032 29712 39048 43949 78096 87898 115517 131847 175796 231034 263694 346551 351592 462068 527388 693102 703184 924136 1007113 1054776 1386204 1848272 2014226 2109552 2772408 3021339 4028452 5544816 6042678 8056904 12085356 16113808 24170712 48341424 71505023 143010046 214515069 286020092 429030138 572040184 858060276 1144080368 1716120552 3432241104