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1344023220 = 2235127233757
BaseRepresentation
bin101000000011100…
…0010101010110100
310110200000110020210
41100013002222310
510223032220340
6341211025420
745210003021
oct12007025264
93420013223
101344023220
1162a7365a1
1231613b270
131855acb17
14ca700548
157ced9180
hex501c2ab4

1344023220 has 96 divisors (see below), whose sum is σ = 3814207488. Its totient is φ = 353590272.

The previous prime is 1344023201. The next prime is 1344023227. The reversal of 1344023220 is 223204431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344023227) 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, 1775082 + ... + 1775838.

It is an arithmetic number, because the mean of its divisors is an integer number (39731328).

Almost surely, 21344023220 is an apocalyptic number.

1344023220 is a gapful number since it is divisible by the number (10) 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 1344023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907103744).

1344023220 is an abundant number, since it is smaller than the sum of its proper divisors (2470184268).

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

1344023220 is a wasteful number, since it uses less digits than its factorization.

1344023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

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

The square root of 1344023220 is about 36660.9222469921. The cubic root of 1344023220 is about 1103.5760258948.

Adding to 1344023220 its reverse (223204431), we get a palindrome (1567227651).

The spelling of 1344023220 in words is "one billion, three hundred forty-four million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 233 254 381 466 508 635 699 757 762 932 1165 1270 1398 1514 1524 1905 2271 2330 2540 2796 3028 3495 3785 3810 4542 4660 6990 7570 7620 9084 11355 13980 15140 22710 29591 45420 59182 88773 96139 118364 147955 176381 177546 192278 288417 295910 352762 355092 384556 443865 480695 529143 576834 591820 705524 881905 887730 961390 1058286 1153668 1442085 1763810 1775460 1922780 2116572 2645715 2884170 3527620 5291430 5768340 10582860 22400387 44800774 67201161 89601548 112001935 134402322 224003870 268804644 336005805 448007740 672011610 1344023220