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233406840 = 23351945057
BaseRepresentation
bin11011110100110…
…00000101111000
3121021012021222210
431322120011320
5434223004330
635054415120
75532632262
oct1572300570
9537167883
10233406840
1110a830017
12662014a0
1339482b74
1422ddab32
15157578b0
hexde98178

233406840 has 32 divisors (see below), whose sum is σ = 700220880. Its totient is φ = 62241792.

The previous prime is 233406839. The next prime is 233406847. The reversal of 233406840 is 48604332.

233406840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 233406798 and 233406807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233406847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972409 + ... + 972648.

Almost surely, 2233406840 is an apocalyptic number.

233406840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233406840 is an abundant number, since it is smaller than the sum of its proper divisors (466814040).

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

233406840 is a wasteful number, since it uses less digits than its factorization.

233406840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945071 (or 1945067 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 233406840 is about 15277.6581975118. The cubic root of 233406840 is about 615.7028912413.

The spelling of 233406840 in words is "two hundred thirty-three million, four hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1945057 3890114 5835171 7780228 9725285 11670342 15560456 19450570 23340684 29175855 38901140 46681368 58351710 77802280 116703420 233406840