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345023520 = 25353719427
BaseRepresentation
bin10100100100001…
…010010000100000
3220001020000021220
4110210022100200
51201311223040
654123015040
711356436322
oct2444122040
9801200256
10345023520
11167836306
129766a480
135663303a
1433b73612
15204542d0
hex1490a420

345023520 has 96 divisors (see below), whose sum is σ = 1116255168. Its totient is φ = 89515008.

The previous prime is 345023513. The next prime is 345023531. The reversal of 345023520 is 25320543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8047 + ... + 27473.

It is an arithmetic number, because the mean of its divisors is an integer number (11627658).

Almost surely, 2345023520 is an apocalyptic number.

345023520 is a gapful number since it is divisible by the number (30) 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 345023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558127584).

345023520 is an abundant number, since it is smaller than the sum of its proper divisors (771231648).

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

345023520 is a wasteful number, since it uses less digits than its factorization.

345023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 345023520 is about 18574.8087473330. The cubic root of 345023520 is about 701.3738460921.

It can be divided in two parts, 345023 and 520, that added together give a palindrome (345543).

The spelling of 345023520 in words is "three hundred forty-five million, twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 19427 38854 58281 77708 97135 116562 155416 194270 233124 291405 310832 388540 466248 582810 621664 718799 777080 932496 1165620 1437598 1554160 1864992 2156397 2331240 2875196 3108320 3593995 4312794 4662480 5750392 7187990 8625588 9324960 10781985 11500784 14375980 17251176 21563970 23001568 28751960 34502352 43127940 57503920 69004704 86255880 115007840 172511760 345023520