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3243257140 = 2252359731637
BaseRepresentation
bin1100000101010000…
…0010110100110100
322101000202112101211
43001110002310310
523120233212030
61253454131204
7143241142114
oct30124026464
98330675354
103243257140
111414809102
127661b0b04
133c8c05a86
1422aa49044
1513eae512a
hexc1502d34

3243257140 has 96 divisors (see below), whose sum is σ = 7330901760. Its totient is φ = 1202420736.

The previous prime is 3243257119. The next prime is 3243257179. The reversal of 3243257140 is 417523423.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980402 + ... + 1982038.

It is an arithmetic number, because the mean of its divisors is an integer number (76363560).

Almost surely, 23243257140 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 3243257140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665450880).

3243257140 is an abundant number, since it is smaller than the sum of its proper divisors (4087644620).

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

3243257140 is a wasteful number, since it uses less digits than its factorization.

3243257140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 3243257140 is about 56949.6017545338. The cubic root of 3243257140 is about 1480.2229302609. Note that the first 3 decimals are identical.

The spelling of 3243257140 in words is "three billion, two hundred forty-three million, two hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 59 73 92 115 118 146 230 236 292 295 365 460 590 730 1180 1357 1460 1637 1679 2714 3274 3358 4307 5428 6548 6716 6785 8185 8395 8614 13570 16370 16790 17228 21535 27140 32740 33580 37651 43070 75302 86140 96583 99061 119501 150604 188255 193166 198122 239002 376510 386332 396244 478004 482915 495305 597505 753020 965830 990610 1195010 1931660 1981220 2221409 2390020 2748523 4442818 5497046 7050559 8885636 10994092 11107045 13742615 14101118 22214090 27485230 28202236 35252795 44428180 54970460 70505590 141011180 162162857 324325714 648651428 810814285 1621628570 3243257140