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1354034840 = 235234135897
BaseRepresentation
bin101000010110100…
…1110111010011000
310111100212002121112
41100231032322120
510233113103330
6342205355452
745361051304
oct12055167230
93440762545
101354034840
11635354464
12319568b88
131876a6a62
14cbb88d04
157dd15795
hex50b4ee98

1354034840 has 64 divisors (see below), whose sum is σ = 3256666560. Its totient is φ = 505415680.

The previous prime is 1354034839. The next prime is 1354034861. The reversal of 1354034840 is 484304531.

It is a junction number, because it is equal to n+sod(n) for n = 1354034797 and 1354034806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19772 + ... + 55668.

It is an arithmetic number, because the mean of its divisors is an integer number (50885415).

Almost surely, 21354034840 is an apocalyptic number.

1354034840 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 1354034840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628333280).

1354034840 is an abundant number, since it is smaller than the sum of its proper divisors (1902631720).

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

1354034840 is a wasteful number, since it uses less digits than its factorization.

1354034840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35972 (or 35968 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 1354034840 is about 36797.2123944192. The cubic root of 1354034840 is about 1106.3094268777.

The spelling of 1354034840 in words is "one billion, three hundred fifty-four million, thirty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 3772 4715 7544 9430 18860 35897 37720 71794 143588 179485 287176 358970 717940 825631 1435880 1471777 1651262 2943554 3302524 4128155 5887108 6605048 7358885 8256310 11774216 14717770 16512620 29435540 33025240 33850871 58871080 67701742 135403484 169254355 270806968 338508710 677017420 1354034840