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353411940 = 22357841457
BaseRepresentation
bin10101000100001…
…010001101100100
3220122000012001010
4111010022031210
51210433140230
655022502220
711520644340
oct2504121544
9818005033
10353411940
11171545692
129a434970
13582ac1bb
1434d18620
152105e9b0
hex1510a364

353411940 has 48 divisors (see below), whose sum is σ = 1130919552. Its totient is φ = 80779776.

The previous prime is 353411939. The next prime is 353411959. The reversal of 353411940 is 49114353.

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

It is a junction number, because it is equal to n+sod(n) for n = 353411898 and 353411907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420309 + ... + 421148.

It is an arithmetic number, because the mean of its divisors is an integer number (23560824).

Almost surely, 2353411940 is an apocalyptic number.

353411940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353411940 is an abundant number, since it is smaller than the sum of its proper divisors (777507612).

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

353411940 is a wasteful number, since it uses less digits than its factorization.

353411940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841476 (or 841474 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 353411940 is about 18799.2537085917. The cubic root of 353411940 is about 707.0124682123.

The spelling of 353411940 in words is "three hundred fifty-three million, four hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 841457 1682914 2524371 3365828 4207285 5048742 5890199 8414570 10097484 11780398 12621855 16829140 17670597 23560796 25243710 29450995 35341194 50487420 58901990 70682388 88352985 117803980 176705970 353411940