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3121042340 = 22513431072609
BaseRepresentation
bin1011101000000111…
…0101001110100100
322001111210101012202
42322001311032210
522342441323330
61233410434032
7140225264543
oct27201651644
98044711182
103121042340
111361824339
12731292918
133a97b4a20
1421871415a
15134003445
hexba0753a4

3121042340 has 96 divisors (see below), whose sum is σ = 7292799360. Its totient is φ = 1114638336.

The previous prime is 3121042333. The next prime is 3121042343. The reversal of 3121042340 is 432401213.

It is a super-3 number, since 3×31210423403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3121042343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194956 + ... + 1197564.

It is an arithmetic number, because the mean of its divisors is an integer number (75966660).

Almost surely, 23121042340 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 3121042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646399680).

3121042340 is an abundant number, since it is smaller than the sum of its proper divisors (4171757020).

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

3121042340 is a wasteful number, since it uses less digits than its factorization.

3121042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3121042340 is about 55866.2898356424. The cubic root of 3121042340 is about 1461.3914207481.

Adding to 3121042340 its reverse (432401213), we get a palindrome (3553443553).

The spelling of 3121042340 in words is "three billion, one hundred twenty-one million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 107 130 172 214 215 260 428 430 535 559 860 1070 1118 1391 2140 2236 2609 2782 2795 4601 5218 5564 5590 6955 9202 10436 11180 13045 13910 18404 23005 26090 27820 33917 46010 52180 59813 67834 92020 112187 119626 135668 169585 224374 239252 279163 299065 339170 448748 558326 560935 598130 678340 1116652 1121870 1196260 1395815 1458431 2243740 2791630 2916862 3629119 5583260 5833724 7258238 7292155 12004009 14516476 14584310 18145595 24008018 29168620 36291190 48016036 60020045 72582380 120040090 156052117 240080180 312104234 624208468 780260585 1560521170 3121042340