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235338240 = 293530643
BaseRepresentation
bin11100000011011…
…11101000000000
3121101211102101010
432001233220000
5440221310430
635204040520
75555225214
oct1601575000
9541742333
10235338240
1111092a115
1266993140
13399aacc7
1423380944
15159d9cb0
hexe06fa00

235338240 has 80 divisors (see below), whose sum is σ = 752371488. Its totient is φ = 62754816.

The previous prime is 235338227. The next prime is 235338247. The reversal of 235338240 is 42833532.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 235338198 and 235338207.

It is not an unprimeable number, because it can be changed into a prime (235338247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7642 + ... + 23001.

Almost surely, 2235338240 is an apocalyptic number.

235338240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235338240 is an abundant number, since it is smaller than the sum of its proper divisors (517033248).

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

235338240 is an equidigital number, since it uses as much as digits as its factorization.

235338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30669 (or 30653 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 235338240 is about 15340.7379222774. The cubic root of 235338240 is about 617.3965055724.

The spelling of 235338240 in words is "two hundred thirty-five million, three hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 30643 61286 91929 122572 153215 183858 245144 306430 367716 459645 490288 612860 735432 919290 980576 1225720 1470864 1838580 1961152 2451440 2941728 3677160 3922304 4902880 5883456 7354320 7844608 9805760 11766912 14708640 15689216 19611520 23533824 29417280 39223040 47067648 58834560 78446080 117669120 235338240