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7344116020 = 22529101283443
BaseRepresentation
bin1101101011011111…
…00101000100110100
3200221211020202020001
412311233211010310
5110020043203040
63212425521044
7346664645653
oct66557450464
920854222201
107344116020
11312962007a
12150b643184
139006abba7
144d953519a
152ceb3e59a
hex1b5be5134

7344116020 has 96 divisors (see below), whose sum is σ = 16205857920. Its totient is φ = 2792025600.

The previous prime is 7344116011. The next prime is 7344116029. The reversal of 7344116020 is 206114437.

It is an interprime number because it is at equal distance from previous prime (7344116011) and next prime (7344116029).

It is a super-4 number, since 4×73441160204 (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7344116020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7344116029) 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, 16577919 + ... + 16578361.

It is an arithmetic number, because the mean of its divisors is an integer number (168811020).

Almost surely, 27344116020 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 7344116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102928960).

7344116020 is an abundant number, since it is smaller than the sum of its proper divisors (8861741900).

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

7344116020 is a wasteful number, since it uses less digits than its factorization.

7344116020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 7344116020 is about 85697.8180585714. The cubic root of 7344116020 is about 1943.7773165449. Note that the first 3 decimals are identical.

The spelling of 7344116020 in words is "seven billion, three hundred forty-four million, one hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 283 290 404 443 505 566 580 886 1010 1132 1415 1772 2020 2215 2830 2929 4430 5660 5858 8207 8860 11716 12847 14645 16414 25694 28583 29290 32828 41035 44743 51388 57166 58580 64235 82070 89486 114332 125369 128470 142915 164140 178972 223715 250738 256940 285830 447430 501476 571660 626845 828907 894860 1253690 1297547 1657814 2507380 2595094 3315628 3635701 4144535 5190188 6487735 7271402 8289070 12662269 12975470 14542804 16578140 18178505 25324538 25950940 36357010 50649076 63311345 72714020 126622690 253245380 367205801 734411602 1468823204 1836029005 3672058010 7344116020