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3412322320 = 2451123533181
BaseRepresentation
bin1100101101100011…
…1110100000010000
322210210212221020011
43023120332200100
523442023303240
61322333524304
7150363155401
oct31330764020
98723787204
103412322320
1114a11922a0
127b2943694
13424c4b744
142452979a8
1514e88d6ea
hexcb63e810

3412322320 has 160 divisors (see below), whose sum is σ = 9204482304. Its totient is φ = 1164134400.

The previous prime is 3412322317. The next prime is 3412322321. The reversal of 3412322320 is 232232143.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3412322291 and 3412322300.

It is not an unprimeable number, because it can be changed into a prime (3412322321) 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, 1071130 + ... + 1074310.

Almost surely, 23412322320 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 3412322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602241152).

3412322320 is an abundant number, since it is smaller than the sum of its proper divisors (5792159984).

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

3412322320 is a wasteful number, since it uses less digits than its factorization.

3412322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3412322320 is about 58415.0864075369. The cubic root of 3412322320 is about 1505.5089752845.

Adding to 3412322320 its reverse (232232143), we get a palindrome (3644554463).

The spelling of 3412322320 in words is "three billion, four hundred twelve million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 53 55 80 88 92 106 110 115 176 184 212 220 230 253 265 368 424 440 460 506 530 583 848 880 920 1012 1060 1166 1219 1265 1840 2024 2120 2332 2438 2530 2915 3181 4048 4240 4664 4876 5060 5830 6095 6362 9328 9752 10120 11660 12190 12724 13409 15905 19504 20240 23320 24380 25448 26818 31810 34991 46640 48760 50896 53636 63620 67045 69982 73163 97520 107272 127240 134090 139964 146326 168593 174955 214544 254480 268180 279928 292652 337186 349910 365815 536360 559856 585304 674372 699820 731630 804793 842965 1072720 1170608 1348744 1399640 1463260 1609586 1685930 1854523 2697488 2799280 2926520 3219172 3371860 3709046 3877639 4023965 5853040 6438344 6743720 7418092 7755278 8047930 9272615 12876688 13487440 14836184 15510556 16095860 18545230 19388195 29672368 31021112 32191720 37090460 38776390 42654029 62042224 64383440 74180920 77552780 85308058 148361840 155105560 170616116 213270145 310211120 341232232 426540290 682464464 853080580 1706161160 3412322320