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1224341430 = 23513291031051
BaseRepresentation
bin100100011111001…
…1111011110110110
310011022210222200220
41020332133132312
510001412411210
6321253515210
742224505354
oct11076373666
93138728626
101224341430
11579121924
122a2042b06
131668679b0
14b88687d4
1572747c70
hex48f9f7b6

1224341430 has 128 divisors (see below), whose sum is σ = 3308497920. Its totient is φ = 287884800.

The previous prime is 1224341413. The next prime is 1224341449. The reversal of 1224341430 is 341434221.

It is a self number, because there is not a number n which added to its sum of digits gives 1224341430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164405 + ... + 1165455.

It is an arithmetic number, because the mean of its divisors is an integer number (25847640).

Almost surely, 21224341430 is an apocalyptic number.

1224341430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224341430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654248960).

1224341430 is an abundant number, since it is smaller than the sum of its proper divisors (2084156490).

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

1224341430 is a wasteful number, since it uses less digits than its factorization.

1224341430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1224341430 is about 34990.5905923292. The cubic root of 1224341430 is about 1069.7957015256.

Adding to 1224341430 its reverse (341434221), we get a palindrome (1565775651).

The spelling of 1224341430 in words is "one billion, two hundred twenty-four million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 103 130 145 174 195 206 290 309 377 390 435 515 618 754 870 1030 1051 1131 1339 1545 1885 2102 2262 2678 2987 3090 3153 3770 4017 5255 5655 5974 6306 6695 8034 8961 10510 11310 13390 13663 14935 15765 17922 20085 27326 29870 30479 31530 38831 40170 40989 44805 60958 68315 77662 81978 89610 91437 108253 116493 136630 152395 182874 194155 204945 216506 232986 304790 324759 388310 396227 409890 457185 541265 582465 649518 792454 914370 1082530 1164930 1188681 1407289 1623795 1981135 2377362 2814578 3139337 3247590 3962270 4221867 5943405 6278674 7036445 8443734 9418011 11886810 14072890 15696685 18836022 21109335 31393370 40811381 42218670 47090055 81622762 94180110 122434143 204056905 244868286 408113810 612170715 1224341430