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353054020 = 225112815711
BaseRepresentation
bin10101000010110…
…010110101000100
3220121100000001211
4111002302311010
51210340212040
655011101204
711514624004
oct2502626504
9817300054
10353054020
11171320790
129a2a1804
13581b5307
1434c64004
1520edd8ea
hex150b2d44

353054020 has 48 divisors (see below), whose sum is σ = 811835136. Its totient is φ = 127904000.

The previous prime is 353054017. The next prime is 353054063. The reversal of 353054020 is 20450353.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 353053982 and 353054000.

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, 58965 + ... + 64675.

It is an arithmetic number, because the mean of its divisors is an integer number (16913232).

Almost surely, 2353054020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405917568).

353054020 is an abundant number, since it is smaller than the sum of its proper divisors (458781116).

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

353054020 is a wasteful number, since it uses less digits than its factorization.

353054020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 353054020 is about 18789.7317703048. The cubic root of 353054020 is about 706.7737105951.

The spelling of 353054020 in words is "three hundred fifty-three million, fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 281 562 1124 1405 2810 3091 5620 5711 6182 11422 12364 15455 22844 28555 30910 57110 61820 62821 114220 125642 251284 314105 628210 1256420 1604791 3209582 6419164 8023955 16047910 17652701 32095820 35305402 70610804 88263505 176527010 353054020