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234694320 = 2435732851
BaseRepresentation
bin11011111110100…
…10011010110000
3121100121201002020
431333102122300
5440040204240
635142151440
75546604000
oct1577223260
9540551066
10234694320
1111052a353
1266722580
1339813ba3
1423254000
151590e0d0
hexdfd26b0

234694320 has 160 divisors (see below), whose sum is σ = 848755200. Its totient is φ = 53625600.

The previous prime is 234694319. The next prime is 234694321. The reversal of 234694320 is 23496432.

It is an interprime number because it is at equal distance from previous prime (234694319) and next prime (234694321).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (234694321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80895 + ... + 83745.

It is an arithmetic number, because the mean of its divisors is an integer number (5304720).

Almost surely, 2234694320 is an apocalyptic number.

234694320 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 234694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424377600).

234694320 is an abundant number, since it is smaller than the sum of its proper divisors (614060880).

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

234694320 is a wasteful number, since it uses less digits than its factorization.

234694320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 234694320 is about 15319.7362901585. The cubic root of 234694320 is about 616.8328953708.

The spelling of 234694320 in words is "two hundred thirty-four million, six hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 840 980 1029 1176 1372 1470 1680 1715 1960 2058 2352 2744 2851 2940 3430 3920 4116 5145 5488 5702 5880 6860 8232 8553 10290 11404 11760 13720 14255 16464 17106 19957 20580 22808 27440 28510 34212 39914 41160 42765 45616 57020 59871 68424 79828 82320 85530 99785 114040 119742 136848 139699 159656 171060 199570 228080 239484 279398 299355 319312 342120 399140 419097 478968 558796 598710 684240 698495 798280 838194 957936 977893 1117592 1197420 1396990 1596560 1676388 1955786 2095485 2235184 2394840 2793980 2933679 3352776 3911572 4190970 4789680 4889465 5587960 5867358 6705552 7823144 8381940 9778930 11175920 11734716 14668395 15646288 16763880 19557860 23469432 29336790 33527760 39115720 46938864 58673580 78231440 117347160 234694320