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354666420 = 223251970369
BaseRepresentation
bin10101001000111…
…100011110110100
3220201100220212100
4111020330132310
51211243311140
655105422100
711534420613
oct2510743664
9821326770
10354666420
11172222149
129a93a930
135862b1b4
143516387a
152120b530
hex1523c7b4

354666420 has 36 divisors (see below), whose sum is σ = 1075822020. Its totient is φ = 94577664.

The previous prime is 354666413. The next prime is 354666421. The reversal of 354666420 is 24666453.

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 276024996 = 8868^2 + 16614^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354666421) 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, 985005 + ... + 985364.

It is an arithmetic number, because the mean of its divisors is an integer number (29883945).

Almost surely, 2354666420 is an apocalyptic number.

354666420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354666420 is an abundant number, since it is smaller than the sum of its proper divisors (721155600).

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

354666420 is a wasteful number, since it uses less digits than its factorization.

354666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970384 (or 1970379 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 354666420 is about 18832.5893068372. The cubic root of 354666420 is about 707.8480234938.

The spelling of 354666420 in words is "three hundred fifty-four million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1970369 3940738 5911107 7881476 9851845 11822214 17733321 19703690 23644428 29555535 35466642 39407380 59111070 70933284 88666605 118222140 177333210 354666420