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354634920 = 23325985097
BaseRepresentation
bin10101001000110…
…100110010101000
3220201022022122200
4111020310302220
51211241304140
655105020200
711534230023
oct2510646250
9821268580
10354634920
11172200512
129a924660
1358619a63
14351561ba
1521202030
hex15234ca8

354634920 has 48 divisors (see below), whose sum is σ = 1152564660. Its totient is φ = 94569216.

The previous prime is 354634913. The next prime is 354634921. The reversal of 354634920 is 29436453.

It can be written as a sum of positive squares in 2 ways, for example, as 354267684 + 367236 = 18822^2 + 606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (354634921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492189 + ... + 492908.

Almost surely, 2354634920 is an apocalyptic number.

354634920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354634920 is an abundant number, since it is smaller than the sum of its proper divisors (797929740).

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

354634920 is a wasteful number, since it uses less digits than its factorization.

354634920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985114 (or 985107 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 354634920 is about 18831.7529720417. The cubic root of 354634920 is about 707.8270668318.

The spelling of 354634920 in words is "three hundred fifty-four million, six hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 985097 1970194 2955291 3940388 4925485 5910582 7880776 8865873 9850970 11821164 14776455 17731746 19701940 23642328 29552910 35463492 39403880 44329365 59105820 70926984 88658730 118211640 177317460 354634920