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3414223220 = 2251743347673
BaseRepresentation
bin1100101110000000…
…1110100101110100
322210221110111202212
43023200032211310
523443020120340
61322442352552
7150415263362
oct31340164564
98727414685
103414223220
1114a2270491
127b34bb758
13425465a35
14245630632
1514eb16a65
hexcb80e974

3414223220 has 96 divisors (see below), whose sum is σ = 7802137728. Its totient is φ = 1249984512.

The previous prime is 3414223207. The next prime is 3414223231. The reversal of 3414223220 is 223224143.

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, 5072804 + ... + 5073476.

It is an arithmetic number, because the mean of its divisors is an integer number (81272268).

Almost surely, 23414223220 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 3414223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901068864).

3414223220 is an abundant number, since it is smaller than the sum of its proper divisors (4387914508).

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

3414223220 is a wasteful number, since it uses less digits than its factorization.

3414223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3414223220 is about 58431.3547677957. The cubic root of 3414223220 is about 1505.7884809990.

Adding to 3414223220 its reverse (223224143), we get a palindrome (3637447363).

The spelling of 3414223220 in words is "three billion, four hundred fourteen million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 347 430 673 694 731 860 1346 1388 1462 1735 2692 2924 3365 3470 3655 5899 6730 6940 7310 11441 11798 13460 14620 14921 22882 23596 28939 29495 29842 45764 57205 57878 58990 59684 74605 114410 115756 117980 144695 149210 228820 233531 253657 289390 298420 467062 491963 507314 578780 934124 983926 1014628 1167655 1268285 1967852 2335310 2459815 2536570 3970027 4670620 4919630 5073140 7940054 9839260 10041833 15880108 19850135 20083666 39700270 40167332 50209165 79400540 100418330 170711161 200836660 341422322 682844644 853555805 1707111610 3414223220