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1434435240 = 233573746153
BaseRepresentation
bin101010101111111…
…1011111010101000
310200222010212020010
41111133323322220
510414203411430
6354200531520
750355332640
oct12537737250
93628125203
101434435240
11676779477
12340480ba0
1319b247464
14d8717520
1585de7cb0
hex557fbea8

1434435240 has 128 divisors (see below), whose sum is σ = 5051093760. Its totient is φ = 319002624.

The previous prime is 1434435179. The next prime is 1434435257. The reversal of 1434435240 is 425344341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1434435198 and 1434435207.

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, 8004 + ... + 54156.

It is an arithmetic number, because the mean of its divisors is an integer number (39461670).

Almost surely, 21434435240 is an apocalyptic number.

1434435240 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 1434435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525546880).

1434435240 is an abundant number, since it is smaller than the sum of its proper divisors (3616658520).

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

1434435240 is a wasteful number, since it uses less digits than its factorization.

1434435240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46211 (or 46207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 1434435240 is about 37873.9387970145. The cubic root of 1434435240 is about 1127.7867347432.

Adding to 1434435240 its reverse (425344341), we get a palindrome (1859779581).

The spelling of 1434435240 in words is "one billion, four hundred thirty-four million, four hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 46153 92306 138459 184612 230765 276918 323071 369224 461530 553836 646142 692295 923060 969213 1107672 1292284 1384590 1615355 1707661 1846120 1938426 2584568 2769180 3230710 3415322 3876852 4846065 5122983 5538360 6461420 6830644 7753704 8538305 9692130 10245966 11953627 12922840 13661288 17076610 19384260 20491932 23907254 25614915 34153220 35860881 38768520 40983864 47814508 51229830 59768135 68306440 71721762 95629016 102459660 119536270 143443524 179304405 204919320 239072540 286887048 358608810 478145080 717217620 1434435240