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3423693120 = 263510973251
BaseRepresentation
bin1100110000010001…
…0110100101000000
322211121021122000220
43030010112211000
524002431134440
61323421343040
7150561624411
oct31404264500
98747248026
103423693120
1114a7649351
127b6707a80
13427400223
142469b7808
151508878d0
hexcc116940

3423693120 has 112 divisors (see below), whose sum is σ = 10883481408. Its totient is φ = 911872000.

The previous prime is 3423693109. The next prime is 3423693149. The reversal of 3423693120 is 213963243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051495 + ... + 1054745.

Almost surely, 23423693120 is an apocalyptic number.

3423693120 is a gapful number since it is divisible by the number (30) 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 3423693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441740704).

3423693120 is an abundant number, since it is smaller than the sum of its proper divisors (7459788288).

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

3423693120 is a wasteful number, since it uses less digits than its factorization.

3423693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3423693120 is about 58512.3330589372. Note that the first 3 decimals coincide. The cubic root of 3423693120 is about 1507.1793784170.

The spelling of 3423693120 in words is "three billion, four hundred twenty-three million, six hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1097 2194 3251 3291 4388 5485 6502 6582 8776 9753 10970 13004 13164 16255 16455 17552 19506 21940 26008 26328 32510 32910 35104 39012 43880 48765 52016 52656 65020 65820 70208 78024 87760 97530 104032 105312 130040 131640 156048 175520 195060 208064 210624 260080 263280 312096 351040 390120 520160 526560 624192 780240 1040320 1053120 1560480 3120960 3566347 7132694 10699041 14265388 17831735 21398082 28530776 35663470 42796164 53495205 57061552 71326940 85592328 106990410 114123104 142653880 171184656 213980820 228246208 285307760 342369312 427961640 570615520 684738624 855923280 1141231040 1711846560 3423693120