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356000000 = 285689
BaseRepresentation
bin10101001110000…
…010000100000000
3220210212200012012
4111032002010000
51212114000000
655154152052
711551643606
oct2516020400
9823780165
10356000000
11172a53084
129b282628
13589a71b5
14353cd876
15213c1735
hex15382100

356000000 has 126 divisors (see below), whose sum is σ = 898230690. Its totient is φ = 140800000.

The previous prime is 355999999. The next prime is 356000023. The reversal of 356000000 is 653.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 342102016 + 13897984 = 18496^2 + 3728^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3999956 + ... + 4000044.

It is an arithmetic number, because the mean of its divisors is an integer number (7128815).

Almost surely, 2356000000 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 356000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449115345).

356000000 is an abundant number, since it is smaller than the sum of its proper divisors (542230690).

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

356000000 is an frugal number, since it uses more digits than its factorization.

356000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 356000000 is about 18867.9622641132. The cubic root of 356000000 is about 708.7341061501.

Adding to 356000000 its reverse (653), we get a palindrome (356000653).

The spelling of 356000000 in words is "three hundred fifty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 128 160 178 200 250 256 320 356 400 445 500 625 640 712 800 890 1000 1250 1280 1424 1600 1780 2000 2225 2500 2848 3125 3200 3560 4000 4450 5000 5696 6250 6400 7120 8000 8900 10000 11125 11392 12500 14240 15625 16000 17800 20000 22250 22784 25000 28480 31250 32000 35600 40000 44500 50000 55625 56960 62500 71200 80000 89000 100000 111250 113920 125000 142400 160000 178000 200000 222500 250000 278125 284800 356000 400000 445000 500000 556250 569600 712000 800000 890000 1000000 1112500 1390625 1424000 1780000 2000000 2225000 2781250 2848000 3560000 4000000 4450000 5562500 7120000 8900000 11125000 14240000 17800000 22250000 35600000 44500000 71200000 89000000 178000000 356000000