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234379640 = 23511737297
BaseRepresentation
bin11011111100001…
…01100101111000
3121100000201102102
431332011211320
5440000122030
635131322532
75544123365
oct1576054570
9540021372
10234379640
11110334990
12665b0448
13397338a1
14231b146c
151589ac45
hexdf85978

234379640 has 64 divisors (see below), whose sum is σ = 583256160. Its totient is φ = 84049920.

The previous prime is 234379619. The next prime is 234379699. The reversal of 234379640 is 46973432.

It is a junction number, because it is equal to n+sod(n) for n = 234379594 and 234379603.

It is a congruent number.

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, 28472 + ... + 35768.

Almost surely, 2234379640 is an apocalyptic number.

234379640 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 234379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291628080).

234379640 is an abundant number, since it is smaller than the sum of its proper divisors (348876520).

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

234379640 is a wasteful number, since it uses less digits than its factorization.

234379640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 234379640 is about 15309.4624334103. The cubic root of 234379640 is about 616.5570872576.

The spelling of 234379640 in words is "two hundred thirty-four million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 7297 8030 14594 16060 29188 32120 36485 58376 72970 80267 145940 160534 291880 321068 401335 532681 642136 802670 1065362 1605340 2130724 2663405 3210680 4261448 5326810 5859491 10653620 11718982 21307240 23437964 29297455 46875928 58594910 117189820 234379640