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234993440 = 25511133519
BaseRepresentation
bin11100000000110…
…11011100100000
3121101011220101202
432000123130200
5440124242230
635152420332
75552261033
oct1600333440
9541156352
10234993440
11110714060
12668476a8
13398ba096
14232d101a
151596ca45
hexe01b720

234993440 has 48 divisors (see below), whose sum is σ = 605646720. Its totient is φ = 85451520.

The previous prime is 234993439. The next prime is 234993449. The reversal of 234993440 is 44399432.

It is a junction number, because it is equal to n+sod(n) for n = 234993394 and 234993403.

It is not an unprimeable number, because it can be changed into a prime (234993449) 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, 65000 + ... + 68519.

It is an arithmetic number, because the mean of its divisors is an integer number (12617640).

Almost surely, 2234993440 is an apocalyptic number.

234993440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234993440 is an abundant number, since it is smaller than the sum of its proper divisors (370653280).

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

234993440 is a wasteful number, since it uses less digits than its factorization.

234993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133545 (or 133537 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 234993440 is about 15329.4957516547. The cubic root of 234993440 is about 617.0948371252.

The spelling of 234993440 in words is "two hundred thirty-four million, nine hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 133519 267038 534076 667595 1068152 1335190 1468709 2136304 2670380 2937418 4272608 5340760 5874836 7343545 10681520 11749672 14687090 21363040 23499344 29374180 46998688 58748360 117496720 234993440