Search a number
-
+
3212425320 = 23351313715031
BaseRepresentation
bin1011111101111001…
…1011100001101000
322021212202010002120
42333132123201220
523034340102240
61250433231240
7142415110326
oct27736334150
98255663076
103212425320
1113a936a765
12757a02520
133c26cc2b0
14226900d16
1513c054ad0
hexbf79b868

3212425320 has 128 divisors (see below), whose sum is σ = 10455056640. Its totient is φ = 784926720.

The previous prime is 3212425319. The next prime is 3212425327. The reversal of 3212425320 is 235242123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3212425327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206205 + ... + 221235.

It is an arithmetic number, because the mean of its divisors is an integer number (81680130).

Almost surely, 23212425320 is an apocalyptic number.

3212425320 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 3212425320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227528320).

3212425320 is an abundant number, since it is smaller than the sum of its proper divisors (7242631320).

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

3212425320 is a wasteful number, since it uses less digits than its factorization.

3212425320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15195 (or 15191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3212425320 is about 56678.2614412263. The cubic root of 3212425320 is about 1475.5174390651.

Adding to 3212425320 its reverse (235242123), we get a palindrome (3447667443).

The spelling of 3212425320 in words is "three billion, two hundred twelve million, four hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 260 274 312 390 411 520 548 685 780 822 1096 1370 1560 1644 1781 2055 2740 3288 3562 4110 5343 5480 7124 8220 8905 10686 14248 15031 16440 17810 21372 26715 30062 35620 42744 45093 53430 60124 71240 75155 90186 106860 120248 150310 180372 195403 213720 225465 300620 360744 390806 450930 586209 601240 781612 901860 977015 1172418 1563224 1803720 1954030 2059247 2344836 2931045 3908060 4118494 4689672 5862090 6177741 7816120 8236988 10296235 11724180 12355482 16473976 20592470 23448360 24710964 26770211 30888705 41184940 49421928 53540422 61777410 80310633 82369880 107080844 123554820 133851055 160621266 214161688 247109640 267702110 321242532 401553165 535404220 642485064 803106330 1070808440 1606212660 3212425320