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234364242780 = 22335434007857
BaseRepresentation
bin1101101001000100110…
…0101000101101011100
3211101221020200002111000
43122101030220231130
512314434221232110
6255355423030300
722634523123513
oct3322114505534
9741836602430
10234364242780
1190436561448
123950813b390
131913c907945
14b4b3db767a
15616a2c21c0
hex3691328b5c

234364242780 has 48 divisors (see below), whose sum is σ = 729133201440. Its totient is φ = 62497131264.

The previous prime is 234364242773. The next prime is 234364242781. The reversal of 234364242780 is 87242463432.

234364242780 is a `hidden beast` number, since 2 + 343 + 64 + 242 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234364242781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217003389 + ... + 217004468.

It is an arithmetic number, because the mean of its divisors is an integer number (15190275030).

Almost surely, 2234364242780 is an apocalyptic number.

234364242780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234364242780 is an abundant number, since it is smaller than the sum of its proper divisors (494768958660).

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

234364242780 is a wasteful number, since it uses less digits than its factorization.

234364242780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434007875 (or 434007867 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 234364242780 in words is "two hundred thirty-four billion, three hundred sixty-four million, two hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 434007857 868015714 1302023571 1736031428 2170039285 2604047142 3906070713 4340078570 5208094284 6510117855 7812141426 8680157140 11718212139 13020235710 15624282852 19530353565 23436424278 26040471420 39060707130 46872848556 58591060695 78121414260 117182121390 234364242780