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1434353140 = 2251123467607
BaseRepresentation
bin101010101111110…
…0111110111110100
310200221222200121101
41111133213313310
510414143300030
6354155055444
750354541403
oct12537476764
93627880541
101434353140
11676722820
12340441584
1319b218c8c
14d86d563a
1585dcd7ca
hex557e7df4

1434353140 has 96 divisors (see below), whose sum is σ = 3441844224. Its totient is φ = 497016960.

The previous prime is 1434353131. The next prime is 1434353153. The reversal of 1434353140 is 413534341.

It is a junction number, because it is equal to n+sod(n) for n = 1434353099 and 1434353108.

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, 2362717 + ... + 2363323.

It is an arithmetic number, because the mean of its divisors is an integer number (35852544).

Almost surely, 21434353140 is an apocalyptic number.

1434353140 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 1434353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720922112).

1434353140 is an abundant number, since it is smaller than the sum of its proper divisors (2007491084).

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

1434353140 is a wasteful number, since it uses less digits than its factorization.

1434353140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1434353140 is about 37872.8549227544. The cubic root of 1434353140 is about 1127.7652180155.

Adding to 1434353140 its reverse (413534341), we get a palindrome (1847887481).

The spelling of 1434353140 in words is "one billion, four hundred thirty-four million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 467 506 607 934 1012 1214 1265 1868 2335 2428 2530 3035 4670 5060 5137 6070 6677 9340 10274 10741 12140 13354 13961 20548 21482 25685 26708 27922 33385 42964 51370 53705 55844 66770 69805 102740 107410 118151 133540 139610 153571 214820 236302 279220 283469 307142 472604 566938 590755 614284 767855 1133876 1181510 1417345 1535710 2363020 2834690 3071420 3118159 5669380 6236318 6519787 12472636 13039574 15590795 26079148 31181590 32598935 62363180 65197870 71717657 130395740 143435314 286870628 358588285 717176570 1434353140