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234364240 = 2451119107131
BaseRepresentation
bin11011111100000…
…01110101010000
3121022222221022001
431332001311100
5434444123430
635131123344
75544030445
oct1576016520
9538887261
10234364240
11110324360
12665a3554
1339729886
14231a99cc
15158963ca
hexdf81d50

234364240 has 160 divisors (see below), whose sum is σ = 636387840. Its totient is φ = 79372800.

The previous prime is 234364223. The next prime is 234364307. The reversal of 234364240 is 42463432.

234364240 is digitally balanced in base 2, 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 = 234364199 and 234364208.

It is a congruent number.

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, 1788975 + ... + 1789105.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2234364240 is an apocalyptic number.

234364240 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 234364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).

234364240 is an abundant number, since it is smaller than the sum of its proper divisors (402023600).

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

234364240 is a wasteful number, since it uses less digits than its factorization.

234364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 234364240 is about 15308.9594682330. The cubic root of 234364240 is about 616.5435832589.

The spelling of 234364240 in words is "two hundred thirty-four million, three hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 107 110 131 152 176 190 209 214 220 262 304 380 418 428 440 524 535 655 760 836 856 880 1045 1048 1070 1177 1310 1441 1520 1672 1712 2033 2090 2096 2140 2354 2489 2620 2882 3344 4066 4180 4280 4708 4978 5240 5764 5885 7205 8132 8360 8560 9416 9956 10165 10480 11528 11770 12445 14017 14410 16264 16720 18832 19912 20330 22363 23056 23540 24890 27379 28034 28820 32528 39824 40660 44726 47080 49780 54758 56068 57640 70085 81320 89452 94160 99560 109516 111815 112136 115280 136895 140170 154187 162640 178904 199120 219032 223630 224272 266323 273790 280340 308374 357808 438064 447260 532646 547580 560680 616748 770935 894520 1065292 1095160 1121360 1233496 1331615 1541870 1789040 2130584 2190320 2466992 2663230 2929553 3083740 4261168 5326460 5859106 6167480 10652920 11718212 12334960 14647765 21305840 23436424 29295530 46872848 58591060 117182120 234364240