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253453340 = 225717109977
BaseRepresentation
bin11110001101101…
…10010000011100
3122122220202121202
433012312100130
51004341001330
641052215032
76165214010
oct1706662034
9578822552
10253453340
11120082278
1270a6a478
13406814ba
1425938540
15173b7445
hexf1b641c

253453340 has 96 divisors (see below), whose sum is σ = 650643840. Its totient is φ = 80953344.

The previous prime is 253453279. The next prime is 253453379. The reversal of 253453340 is 43354352.

253453340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 258932 + ... + 259908.

It is an arithmetic number, because the mean of its divisors is an integer number (6777540).

Almost surely, 2253453340 is an apocalyptic number.

253453340 is a gapful number since it is divisible by the number (20) 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 253453340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325321920).

253453340 is an abundant number, since it is smaller than the sum of its proper divisors (397190500).

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

253453340 is a wasteful number, since it uses less digits than its factorization.

253453340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 253453340 is about 15920.2179633320. The cubic root of 253453340 is about 632.8478945584.

The spelling of 253453340 in words is "two hundred fifty-three million, four hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 109 119 140 170 218 238 340 436 476 545 595 763 977 1090 1190 1526 1853 1954 2180 2380 3052 3706 3815 3908 4885 6839 7412 7630 9265 9770 12971 13678 15260 16609 18530 19540 25942 27356 33218 34195 37060 51884 64855 66436 68390 83045 106493 116263 129710 136780 166090 212986 232526 259420 332180 425972 465052 532465 581315 745451 1064930 1162630 1490902 1810381 2129860 2325260 2981804 3620762 3727255 7241524 7454510 9051905 12672667 14909020 18103810 25345334 36207620 50690668 63363335 126726670 253453340