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3201423000 = 233531762773
BaseRepresentation
bin1011111011010001…
…1101011010011000
322021010001010202020
42332310131122120
523024031014000
61245401334440
7142222434516
oct27664353230
98233033666
103201423000
1113a3135536
12754197420
133c0349449
142252794b6
1513b0ceba0
hexbed1d698

3201423000 has 128 divisors (see below), whose sum is σ = 10576163520. Its totient is φ = 803481600.

The previous prime is 3201422989. The next prime is 3201423019. The reversal of 3201423000 is 3241023.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 19614 + ... + 82386.

Almost surely, 23201423000 is an apocalyptic number.

3201423000 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 3201423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288081760).

3201423000 is an abundant number, since it is smaller than the sum of its proper divisors (7374740520).

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

3201423000 is a wasteful number, since it uses less digits than its factorization.

3201423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62814 (or 62800 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3201423000 is about 56581.1187588227. The cubic root of 3201423000 is about 1473.8309994537.

Adding to 3201423000 its reverse (3241023), we get a palindrome (3204664023).

The spelling of 3201423000 in words is "three billion, two hundred one million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 62773 125546 188319 251092 313865 376638 502184 627730 753276 941595 1067141 1255460 1506552 1569325 1883190 2134282 2510920 3138650 3201423 3766380 4268564 4707975 5335705 6277300 6402846 7532760 7846625 8537128 9415950 10671410 12554600 12805692 15693250 16007115 18831900 21342820 23539875 25611384 26678525 31386500 32014230 37663800 42685640 47079750 53357050 62773000 64028460 80035575 94159500 106714100 128056920 133392625 160071150 188319000 213428200 266785250 320142300 400177875 533570500 640284600 800355750 1067141000 1600711500 3201423000