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23354640 = 24325163199
BaseRepresentation
bin101100100010…
…1110100010000
31121221112112200
41121011310100
521434322030
62152323200
7402340221
oct131056420
947845480
1023354640
1112201761
1279a3500
134ab931a
14315d248
1520b4d60
hex1645d10

23354640 has 120 divisors (see below), whose sum is σ = 79310400. Its totient is φ = 6158592.

The previous prime is 23354621. The next prime is 23354647. The reversal of 23354640 is 4645332.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (23354647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117261 + ... + 117459.

It is an arithmetic number, because the mean of its divisors is an integer number (660920).

Almost surely, 223354640 is an apocalyptic number.

23354640 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 23354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39655200).

23354640 is an abundant number, since it is smaller than the sum of its proper divisors (55955760).

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

23354640 is a wasteful number, since it uses less digits than its factorization.

23354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 23354640 is about 4832.6638616813. The cubic root of 23354640 is about 285.8409143461.

Adding to 23354640 its reverse (4645332), we get a palindrome (27999972).

It can be divided in two parts, 233546 and 40, that added together give a triangular number (233586 = T683).

The spelling of 23354640 in words is "twenty-three million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 163 180 199 240 326 360 398 489 597 652 720 796 815 978 995 1194 1304 1467 1592 1630 1791 1956 1990 2388 2445 2608 2934 2985 3184 3260 3582 3912 3980 4776 4890 5868 5970 6520 7164 7335 7824 7960 8955 9552 9780 11736 11940 13040 14328 14670 15920 17910 19560 23472 23880 28656 29340 32437 35820 39120 47760 58680 64874 71640 97311 117360 129748 143280 162185 194622 259496 291933 324370 389244 486555 518992 583866 648740 778488 973110 1167732 1297480 1459665 1556976 1946220 2335464 2594960 2919330 3892440 4670928 5838660 7784880 11677320 23354640