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234424404240 = 24351394179847
BaseRepresentation
bin1101101001010011001…
…0001000100100010000
3211102002102212121111020
43122110302020210100
512320100121413430
6255405412315440
722636153362405
oct3322462104420
9742072777436
10234424404240
1190467512664
1239524312b80
131914c210240
14b4bbd982ac
156170707b10
hex3694c88910

234424404240 has 160 divisors (see below), whose sum is σ = 783458355456. Its totient is φ = 57642424320.

The previous prime is 234424404209. The next prime is 234424404271. The reversal of 234424404240 is 42404424432.

It is an interprime number because it is at equal distance from previous prime (234424404209) and next prime (234424404271).

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, 2895997 + ... + 2975843.

Almost surely, 2234424404240 is an apocalyptic number.

234424404240 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 234424404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391729177728).

234424404240 is an abundant number, since it is smaller than the sum of its proper divisors (549033951216).

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

234424404240 is a wasteful number, since it uses less digits than its factorization.

234424404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80817 (or 80811 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 234424404240 its reverse (42404424432), we get a palindrome (276828828672).

The spelling of 234424404240 in words is "two hundred thirty-four billion, four hundred twenty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 941 1040 1560 1882 2823 3120 3764 4705 5646 7528 9410 11292 12233 14115 15056 18820 22584 24466 28230 36699 37640 45168 48932 56460 61165 73398 75280 79847 97864 112920 122330 146796 159694 183495 195728 225840 239541 244660 293592 319388 366990 399235 479082 489320 587184 638776 733980 798470 958164 978640 1038011 1197705 1277552 1467960 1596940 1916328 2076022 2395410 2935920 3114033 3193880 3832656 4152044 4790820 5190055 6228066 6387760 8304088 9581640 10380110 12456132 15570165 16608176 19163280 20760220 24912264 31140330 41520440 49824528 62280660 75136027 83040880 124561320 150272054 225408081 249122640 300544108 375680135 450816162 601088216 751360270 901632324 976768351 1127040405 1202176432 1502720540 1803264648 1953536702 2254080810 2930305053 3005441080 3606529296 3907073404 4508161620 4883841755 5860610106 6010882160 7814146808 9016323240 9767683510 11721220212 14651525265 15628293616 18032646480 19535367020 23442440424 29303050530 39070734040 46884880848 58606101060 78141468080 117212202120 234424404240