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345554220 = 22351134327
BaseRepresentation
bin10100100110001…
…011110100101100
3220002012222021110
4110212023310230
51201430213340
654142232020
711364106464
oct2446136454
9802188243
10345554220
11168069000
1297885610
135678a76b
1433c70ba4
152050b680
hex1498bd2c

345554220 has 96 divisors (see below), whose sum is σ = 1064480256. Its totient is φ = 83751360.

The previous prime is 345554219. The next prime is 345554249. The reversal of 345554220 is 22455543.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 77697 + ... + 82023.

It is an arithmetic number, because the mean of its divisors is an integer number (11088336).

Almost surely, 2345554220 is an apocalyptic number.

345554220 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 345554220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532240128).

345554220 is an abundant number, since it is smaller than the sum of its proper divisors (718926036).

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

345554220 is a wasteful number, since it uses less digits than its factorization.

345554220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 345554220 is about 18589.0887350618. The cubic root of 345554220 is about 701.7332693370.

It can be divided in two parts, 3455 and 54220, that added together give a palindrome (57675).

The spelling of 345554220 in words is "three hundred forty-five million, five hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1331 1452 1815 2420 2662 3630 3993 4327 5324 6655 7260 7986 8654 12981 13310 15972 17308 19965 21635 25962 26620 39930 43270 47597 51924 64905 79860 86540 95194 129810 142791 190388 237985 259620 285582 475970 523567 571164 713955 951940 1047134 1427910 1570701 2094268 2617835 2855820 3141402 5235670 5759237 6282804 7853505 10471340 11518474 15707010 17277711 23036948 28796185 31414020 34555422 57592370 69110844 86388555 115184740 172777110 345554220