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3411214112 = 253728110253
BaseRepresentation
bin1100101101010010…
…1111111100100000
322210201210122001102
43023110233330200
523441232322422
61322254053532
7150350561435
oct31324577440
98721718042
103411214112
1114a05a5719
127b24aa2a8
134249511b7
14245089b8c
1514e720192
hexcb52ff20

3411214112 has 48 divisors (see below), whose sum is σ = 6922557432. Its totient is φ = 1653442560.

The previous prime is 3411214091. The next prime is 3411214129. The reversal of 3411214112 is 2114121143.

It can be written as a sum of positive squares in 4 ways, for example, as 3127493776 + 283720336 = 55924^2 + 16844^2 .

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 7 ways as a sum of consecutive naturals, for example, 327578 + ... + 337830.

Almost surely, 23411214112 is an apocalyptic number.

3411214112 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 3411214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461278716).

3411214112 is an abundant number, since it is smaller than the sum of its proper divisors (3511343320).

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

3411214112 is a wasteful number, since it uses less digits than its factorization.

3411214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581 (or 10573 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 3411214112 is about 58405.6000054789. The cubic root of 3411214112 is about 1505.3459780075.

Adding to 3411214112 its reverse (2114121143), we get a palindrome (5525335255).

The spelling of 3411214112 in words is "three billion, four hundred eleven million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 281 296 562 592 1124 1184 2248 4496 8992 10253 10397 20506 20794 41012 41588 82024 83176 164048 166352 328096 332704 379361 758722 1517444 2881093 3034888 5762186 6069776 11524372 12139552 23048744 46097488 92194976 106600441 213200882 426401764 852803528 1705607056 3411214112