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3100041234 = 23423382129
BaseRepresentation
bin1011100011000110…
…1110000000010010
322000001021102010000
42320301232000102
522322102304414
61231340350430
7136551626043
oct27061560022
98001242100
103100041234
11135098a954
12726245416
133a5340a34
14215a088ca
15132255b09
hexb8c6e012

3100041234 has 40 divisors (see below), whose sum is σ = 6976286460. Its totient is φ = 1028899584.

The previous prime is 3100041233. The next prime is 3100041251. The reversal of 3100041234 is 4321400013.

It can be written as a sum of positive squares in 2 ways, for example, as 2524761009 + 575280225 = 50247^2 + 23985^2 .

It is a super-2 number, since 2×31000412342 = 19220511305000485512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3100041233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3319 + ... + 78810.

Almost surely, 23100041234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100041234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488143230).

3100041234 is an abundant number, since it is smaller than the sum of its proper divisors (3876245226).

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

3100041234 is a wasteful number, since it uses less digits than its factorization.

3100041234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82376 (or 82367 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3100041234 is about 55678.0139193201. The cubic root of 3100041234 is about 1458.1062006673.

Adding to 3100041234 its reverse (4321400013), we get a palindrome (7421441247).

The spelling of 3100041234 in words is "three billion, one hundred million, forty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 466 699 1398 2097 4194 6291 12582 18873 37746 82129 164258 246387 492774 739161 1478322 2217483 4434966 6652449 13304898 19136057 38272114 57408171 114816342 172224513 344449026 516673539 1033347078 1550020617 3100041234