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234965520 = 243253071063
BaseRepresentation
bin11100000000101…
…00101000010000
3121101010111002200
432000110220100
5440122344040
635152043200
75552113446
oct1600245020
9541114080
10234965520
111106a5089
1266833500
13398aa46a
14232c4b96
1515964630
hexe014a10

234965520 has 120 divisors (see below), whose sum is σ = 792407616. Its totient is φ = 62394624.

The previous prime is 234965519. The next prime is 234965543. The reversal of 234965520 is 25569432.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×2349655204 (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220509 + ... + 221571.

Almost surely, 2234965520 is an apocalyptic number.

234965520 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 234965520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396203808).

234965520 is an abundant number, since it is smaller than the sum of its proper divisors (557442096).

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

234965520 is a wasteful number, since it uses less digits than its factorization.

234965520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 234965520 is about 15328.5850619031. The cubic root of 234965520 is about 617.0703967689.

The spelling of 234965520 in words is "two hundred thirty-four million, nine hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 307 360 614 720 921 1063 1228 1535 1842 2126 2456 2763 3070 3189 3684 4252 4605 4912 5315 5526 6140 6378 7368 8504 9210 9567 10630 11052 12280 12756 13815 14736 15945 17008 18420 19134 21260 22104 24560 25512 27630 31890 36840 38268 42520 44208 47835 51024 55260 63780 73680 76536 85040 95670 110520 127560 153072 191340 221040 255120 326341 382680 652682 765360 979023 1305364 1631705 1958046 2610728 2937069 3263410 3916092 4895115 5221456 5874138 6526820 7832184 9790230 11748276 13053640 14685345 15664368 19580460 23496552 26107280 29370690 39160920 46993104 58741380 78321840 117482760 234965520