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234935040 = 2835193317
BaseRepresentation
bin11100000000011…
…01001100000000
3121101001221021210
432000031030000
5440120410130
635151250120
75551625544
oct1600151400
9541057253
10234935040
1111068419a
1266819940
1339899622
14232b7a24
151595a5b0
hexe00d300

234935040 has 144 divisors (see below), whose sum is σ = 756590688. Its totient is φ = 62128128.

The previous prime is 234935033. The next prime is 234935059. The reversal of 234935040 is 40539432.

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 = 234934989 and 234935007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740962 + ... + 741278.

It is an arithmetic number, because the mean of its divisors is an integer number (5254102).

Almost surely, 2234935040 is an apocalyptic number.

234935040 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 234935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378295344).

234935040 is an abundant number, since it is smaller than the sum of its proper divisors (521655648).

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

234935040 is a wasteful number, since it uses less digits than its factorization.

234935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 234935040 is about 15327.5908087344. The cubic root of 234935040 is about 617.0437132523.

The spelling of 234935040 in words is "two hundred thirty-four million, nine hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 193 240 256 317 320 384 386 480 579 634 640 768 772 951 960 965 1158 1268 1280 1544 1585 1902 1920 1930 2316 2536 2895 3088 3170 3804 3840 3860 4632 4755 5072 5790 6176 6340 7608 7720 9264 9510 10144 11580 12352 12680 15216 15440 18528 19020 20288 23160 24704 25360 30432 30880 37056 38040 40576 46320 49408 50720 60864 61181 61760 74112 76080 81152 92640 101440 121728 122362 123520 148224 152160 183543 185280 202880 243456 244724 247040 304320 305905 367086 370560 405760 489448 608640 611810 734172 741120 917715 978896 1217280 1223620 1468344 1835430 1957792 2447240 2936688 3670860 3915584 4894480 5873376 7341720 7831168 9788960 11746752 14683440 15662336 19577920 23493504 29366880 39155840 46987008 58733760 78311680 117467520 234935040