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1434054240 = 25335331957
BaseRepresentation
bin101010101111001…
…1110111001100000
310200221102111121000
41111132132321200
510414104213430
6354144432000
750352155103
oct12536367140
93627374530
101434054240
116765391a3
12340318600
1319b142c08
14d865873a
1585d6ee60
hex5579ee60

1434054240 has 96 divisors (see below), whose sum is σ = 5019204960. Its totient is φ = 382413312.

The previous prime is 1434054239. The next prime is 1434054247. The reversal of 1434054240 is 424504341.

It is a happy number.

1434054240 is a `hidden beast` number, since 1 + 43 + 40 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434054247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161659 + ... + 170298.

It is an arithmetic number, because the mean of its divisors is an integer number (52283385).

Almost surely, 21434054240 is an apocalyptic number.

1434054240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434054240 is an abundant number, since it is smaller than the sum of its proper divisors (3585150720).

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

1434054240 is a wasteful number, since it uses less digits than its factorization.

1434054240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331981 (or 331967 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1434054240 is about 37868.9086190769. The cubic root of 1434054240 is about 1127.6868755134.

Adding to 1434054240 its reverse (424504341), we get a palindrome (1858558581).

The spelling of 1434054240 in words is "one billion, four hundred thirty-four million, fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 331957 663914 995871 1327828 1659785 1991742 2655656 2987613 3319570 3983484 4979355 5311312 5975226 6639140 7966968 8962839 9958710 10622624 11950452 13278280 14938065 15933936 17925678 19917420 23900904 26556560 29876130 31867872 35851356 39834840 44814195 47801808 53113120 59752260 71702712 79669680 89628390 95603616 119504520 143405424 159339360 179256780 239009040 286810848 358513560 478018080 717027120 1434054240