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234674440 = 235711135861
BaseRepresentation
bin11011111110011…
…01100100001000
3121100120200210221
431333031210020
5440034040230
635141515424
75546462020
oct1577154410
9540520727
10234674440
11110516420
1266712b74
1339807b20
142324aa80
151590827a
hexdfcd908

234674440 has 128 divisors (see below), whose sum is σ = 709067520. Its totient is φ = 67507200.

The previous prime is 234674437. The next prime is 234674509. The reversal of 234674440 is 44476432.

234674440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234674396 and 234674405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37110 + ... + 42970.

It is an arithmetic number, because the mean of its divisors is an integer number (5539590).

Almost surely, 2234674440 is an apocalyptic number.

234674440 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 234674440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354533760).

234674440 is an abundant number, since it is smaller than the sum of its proper divisors (474393080).

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

234674440 is a wasteful number, since it uses less digits than its factorization.

234674440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5903 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The square root of 234674440 is about 15319.0874401839. The cubic root of 234674440 is about 616.8154784115.

The spelling of 234674440 in words is "two hundred thirty-four million, six hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 5861 8008 10010 11722 20020 23444 29305 40040 41027 46888 58610 64471 76193 82054 117220 128942 152386 164108 205135 234440 257884 304772 322355 328216 380965 410270 451297 515768 533351 609544 644710 761930 820540 838123 902594 1066702 1289420 1523860 1641080 1676246 1805188 2133404 2256485 2578840 2666755 3047720 3352492 3610376 4190615 4266808 4512970 5333510 5866861 6704984 8381230 9025940 10667020 11733722 16762460 18051880 21334040 23467444 29334305 33524920 46934888 58668610 117337220 234674440