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4314202320 = 2435192933229
BaseRepresentation
bin1000000010010010…
…11000000011010000
3102010122221012000010
410001021120003100
532313413433240
61552032154520
7211624054221
oct40111300320
912118835003
104314202320
11191428906a
12a04998a40
13539a52a4c
142ccd83248
151a3b3c280
hex1012580d0

4314202320 has 160 divisors (see below), whose sum is σ = 14130345600. Its totient is φ = 1085847552.

The previous prime is 4314202289. The next prime is 4314202351. The reversal of 4314202320 is 232024134.

It is an interprime number because it is at equal distance from previous prime (4314202289) and next prime (4314202351).

It is a super-2 number, since 2×43142023202 = 37224683315786764800, which contains 22 as substring.

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, 1334466 + ... + 1337694.

It is an arithmetic number, because the mean of its divisors is an integer number (88314660).

Almost surely, 24314202320 is an apocalyptic number.

4314202320 is a gapful number since it is divisible by the number (40) 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 4314202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7065172800).

4314202320 is an abundant number, since it is smaller than the sum of its proper divisors (9816143280).

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

4314202320 is a wasteful number, since it uses less digits than its factorization.

4314202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4314202320 is about 65682.5876469556. The cubic root of 4314202320 is about 1627.9216639337.

Adding to 4314202320 its reverse (232024134), we get a palindrome (4546226454).

The spelling of 4314202320 in words is "four billion, three hundred fourteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 293 304 380 456 570 586 760 879 912 1140 1172 1465 1520 1758 2280 2344 2930 3229 3516 4395 4560 4688 5567 5860 6458 7032 8790 9687 11134 11720 12916 14064 16145 16701 17580 19374 22268 23440 25832 27835 32290 33402 35160 38748 44536 48435 51664 55670 61351 64580 66804 70320 77496 83505 89072 96870 111340 122702 129160 133608 154992 167010 184053 193740 222680 245404 258320 267216 306755 334020 368106 387480 445360 490808 613510 668040 736212 774960 920265 946097 981616 1227020 1336080 1472424 1840530 1892194 2454040 2838291 2944848 3681060 3784388 4730485 4908080 5676582 7362120 7568776 9460970 11353164 14191455 14724240 15137552 17975843 18921940 22706328 28382910 35951686 37843880 45412656 53927529 56765820 71903372 75687760 89879215 107855058 113531640 143806744 179758430 215710116 227063280 269637645 287613488 359516860 431420232 539275290 719033720 862840464 1078550580 1438067440 2157101160 4314202320