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234454640 = 245723109167
BaseRepresentation
bin11011111100101…
…11111001110000
3121100011112022012
431332113321300
5440010022030
635133102052
75544555140
oct1576277160
9540145265
10234454640
11110386272
1266627928
133975ba74
14231d0920
15158b3095
hexdf97e70

234454640 has 160 divisors (see below), whose sum is σ = 659957760. Its totient is φ = 75727872.

The previous prime is 234454639. The next prime is 234454691. The reversal of 234454640 is 46454432.

It is a junction number, because it is equal to n+sod(n) for n = 234454597 and 234454606.

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, 1403837 + ... + 1404003.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2234454640 is an apocalyptic number.

234454640 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 234454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880).

234454640 is an abundant number, since it is smaller than the sum of its proper divisors (425503120).

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

234454640 is a wasteful number, since it uses less digits than its factorization.

234454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 234454640 is about 15311.9117029847. The cubic root of 234454640 is about 616.6228450315.

The spelling of 234454640 in words is "two hundred thirty-four million, four hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 109 112 115 140 161 167 184 218 230 280 322 334 368 436 460 545 560 644 668 763 805 835 872 920 1090 1169 1288 1336 1526 1610 1670 1744 1840 2180 2338 2507 2576 2672 3052 3220 3340 3815 3841 4360 4676 5014 5845 6104 6440 6680 7630 7682 8720 9352 10028 11690 12208 12535 12880 13360 15260 15364 17549 18203 18704 19205 20056 23380 25070 26887 30520 30728 35098 36406 38410 40112 46760 50140 53774 61040 61456 70196 72812 76820 87745 91015 93520 100280 107548 127421 134435 140392 145624 153640 175490 182030 200560 215096 254842 268870 280784 291248 307280 350980 364060 418669 430192 509684 537740 637105 701960 728120 837338 1019368 1075480 1274210 1403920 1456240 1674676 2038736 2093345 2150960 2548420 2930683 3349352 4186690 5096840 5861366 6698704 8373380 10193680 11722732 14653415 16746760 23445464 29306830 33493520 46890928 58613660 117227320 234454640