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3452133020 = 2257232115081
BaseRepresentation
bin1100110111000011…
…0101111010011100
322220120210112020112
43031300311322130
524032221224040
61330315105152
7151355434520
oct31560657234
98816715215
103452133020
1115117036a6
128041421b8
1343027a07b
1424a69bd80
15153104365
hexcdc35e9c

3452133020 has 96 divisors (see below), whose sum is σ = 8688024576. Its totient is φ = 1126540800.

The previous prime is 3452133017. The next prime is 3452133023. The reversal of 3452133020 is 203312543.

It is an interprime number because it is at equal distance from previous prime (3452133017) and next prime (3452133023).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452133023) 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, 676880 + ... + 681960.

It is an arithmetic number, because the mean of its divisors is an integer number (90500256).

Almost surely, 23452133020 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 3452133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344012288).

3452133020 is an abundant number, since it is smaller than the sum of its proper divisors (5235891556).

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

3452133020 is a wasteful number, since it uses less digits than its factorization.

3452133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5331 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 3452133020 is about 58754.8552887334. The cubic root of 3452133020 is about 1511.3411501762.

Adding to 3452133020 its reverse (203312543), we get a palindrome (3655445563).

The spelling of 3452133020 in words is "three billion, four hundred fifty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 211 230 322 422 460 644 805 844 1055 1477 1610 2110 2954 3220 4220 4853 5081 5908 7385 9706 10162 14770 19412 20324 24265 25405 29540 33971 35567 48530 50810 67942 71134 97060 101620 116863 135884 142268 169855 177835 233726 339710 355670 467452 584315 679420 711340 818041 1072091 1168630 1636082 2144182 2337260 3272164 4090205 4288364 5360455 7504637 8180410 10720910 15009274 16360820 21441820 24658093 30018548 37523185 49316186 75046370 98632372 123290465 150092740 172606651 246580930 345213302 493161860 690426604 863033255 1726066510 3452133020