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234307480 = 235113671451
BaseRepresentation
bin11011111011100…
…11111110011000
3121022220001102211
431331303332120
5434440314410
635130004504
75543403121
oct1575637630
9538801384
10234307480
11110295750
1266576734
1339709aa4
1423193048
151588468a
hexdf73f98

234307480 has 64 divisors (see below), whose sum is σ = 577082880. Its totient is φ = 84912000.

The previous prime is 234307459. The next prime is 234307483. The reversal of 234307480 is 84703432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234307483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160755 + ... + 162205.

It is an arithmetic number, because the mean of its divisors is an integer number (9016920).

Almost surely, 2234307480 is an apocalyptic number.

234307480 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 234307480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288541440).

234307480 is an abundant number, since it is smaller than the sum of its proper divisors (342775400).

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

234307480 is a wasteful number, since it uses less digits than its factorization.

234307480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 234307480 is about 15307.1055395852. The cubic root of 234307480 is about 616.4938062689.

The spelling of 234307480 in words is "two hundred thirty-four million, three hundred seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 367 440 734 1451 1468 1835 2902 2936 3670 4037 5804 7255 7340 8074 11608 14510 14680 15961 16148 20185 29020 31922 32296 40370 58040 63844 79805 80740 127688 159610 161480 319220 532517 638440 1065034 2130068 2662585 4260136 5325170 5857687 10650340 11715374 21300680 23430748 29288435 46861496 58576870 117153740 234307480