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1434103320 = 2335134321379
BaseRepresentation
bin101010101111010…
…1010111000011000
310200221111222220210
41111132222320120
510414112301240
6354145451120
750352451146
oct12536527030
93627458823
101434103320
11676572061
12340340aa0
1319b15c360
14d866c596
1585d7e780
hex557aae18

1434103320 has 128 divisors (see below), whose sum is σ = 4741228800. Its totient is φ = 344784384.

The previous prime is 1434103301. The next prime is 1434103327. The reversal of 1434103320 is 233014341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434103327) 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, 56391 + ... + 77769.

It is an arithmetic number, because the mean of its divisors is an integer number (37040850).

Almost surely, 21434103320 is an apocalyptic number.

1434103320 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 1434103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370614400).

1434103320 is an abundant number, since it is smaller than the sum of its proper divisors (3307125480).

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

1434103320 is a wasteful number, since it uses less digits than its factorization.

1434103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21449 (or 21445 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1434103320 is about 37869.5566385454. The cubic root of 1434103320 is about 1127.6997402617.

Adding to 1434103320 its reverse (233014341), we get a palindrome (1667117661).

The spelling of 1434103320 in words is "one billion, four hundred thirty-four million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 2236 2580 2795 3354 4472 5160 5590 6708 8385 11180 13416 16770 21379 22360 33540 42758 64137 67080 85516 106895 128274 171032 213790 256548 277927 320685 427580 513096 555854 641370 833781 855160 919297 1111708 1282740 1389635 1667562 1838594 2223416 2565480 2757891 2779270 3335124 3677188 4168905 4596485 5515782 5558540 6670248 7354376 8337810 9192970 11031564 11117080 11950861 13789455 16675620 18385940 22063128 23901722 27578910 33351240 35852583 36771880 47803444 55157820 59754305 71705166 95606888 110315640 119508610 143410332 179262915 239017220 286820664 358525830 478034440 717051660 1434103320