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3424163280 = 2435193124223
BaseRepresentation
bin1100110000011000…
…1001010111010000
322211122011111222020
43030012021113100
524003041211110
61323435411440
7150565623216
oct31406112720
98748144866
103424163280
1114a793a60a
127b68b3b80
13427536225
14246a9acb6
1515092bd70
hexcc1895d0

3424163280 has 160 divisors (see below), whose sum is σ = 11534499840. Its totient is φ = 837112320.

The previous prime is 3424163251. The next prime is 3424163287. The reversal of 3424163280 is 823614243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424163287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 129249 + ... + 153471.

It is an arithmetic number, because the mean of its divisors is an integer number (72090624).

Almost surely, 23424163280 is an apocalyptic number.

3424163280 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 3424163280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767249920).

3424163280 is an abundant number, since it is smaller than the sum of its proper divisors (8110336560).

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

3424163280 is a wasteful number, since it uses less digits than its factorization.

3424163280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24289 (or 24283 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3424163280 is about 58516.3505355554. The cubic root of 3424163280 is about 1507.2483665922.

It can be divided in two parts, 342416 and 3280, that added together give a triangular number (345696 = T831).

The spelling of 3424163280 in words is "three billion, four hundred twenty-four million, one hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2945 3534 3720 4560 4712 5890 7068 7440 8835 9424 11780 14136 17670 23560 24223 28272 35340 47120 48446 70680 72669 96892 121115 141360 145338 193784 242230 290676 363345 387568 460237 484460 581352 726690 750913 920474 968920 1162704 1380711 1453380 1501826 1840948 1937840 2252739 2301185 2761422 2906760 3003652 3681896 3754565 4505478 4602370 5522844 5813520 6007304 6903555 7363792 7509130 9010956 9204740 11045688 11263695 12014608 13807110 14267347 15018260 18021912 18409480 22091376 22527390 27614220 28534694 30036520 36043824 36818960 42802041 45054780 55228440 57069388 60073040 71336735 85604082 90109560 110456880 114138776 142673470 171208164 180219120 214010205 228277552 285346940 342416328 428020410 570693880 684832656 856040820 1141387760 1712081640 3424163280