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3420489780 = 22325314114951
BaseRepresentation
bin1100101111100000…
…1000100000110100
322211101020212212200
43023320020200310
524001121133110
61323224544500
7150522453261
oct31370104064
98741225780
103420489780
1114a5860664
127b5622130
1342684b166
142463c2268
151504536c0
hexcbe08834

3420489780 has 144 divisors (see below), whose sum is σ = 10972136448. Its totient is φ = 861120000.

The previous prime is 3420489733. The next prime is 3420489803. The reversal of 3420489780 is 879840243.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221305 + ... + 236255.

It is an arithmetic number, because the mean of its divisors is an integer number (76195392).

Almost surely, 23420489780 is an apocalyptic number.

3420489780 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 3420489780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486068224).

3420489780 is an abundant number, since it is smaller than the sum of its proper divisors (7551646668).

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

3420489780 is a wasteful number, since it uses less digits than its factorization.

3420489780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15033 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3420489780 is about 58484.9534495839. The cubic root of 3420489780 is about 1506.7091732554.

The spelling of 3420489780 in words is "three billion, four hundred twenty million, four hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 41 45 60 62 82 90 93 123 124 155 164 180 186 205 246 279 310 369 372 410 465 492 558 615 620 738 820 930 1116 1230 1271 1395 1476 1845 1860 2460 2542 2790 3690 3813 5084 5580 6355 7380 7626 11439 12710 14951 15252 19065 22878 25420 29902 38130 44853 45756 57195 59804 74755 76260 89706 114390 134559 149510 179412 224265 228780 269118 299020 448530 463481 538236 612991 672795 897060 926962 1225982 1345590 1390443 1838973 1853924 2317405 2451964 2691180 2780886 3064955 3677946 4171329 4634810 5516919 5561772 6129910 6952215 7355892 8342658 9194865 9269620 11033838 12259820 13904430 16685316 18389730 19002721 20856645 22067676 27584595 27808860 36779460 38005442 41713290 55169190 57008163 76010884 83426580 95013605 110338380 114016326 171024489 190027210 228032652 285040815 342048978 380054420 570081630 684097956 855122445 1140163260 1710244890 3420489780