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334071400 = 235213128489
BaseRepresentation
bin10011111010011…
…000011001101000
3212021121120210211
4103322120121220
51141010241100
653052150504
711164363045
oct2372303150
9767546724
10334071400
11161635873
1293a68434
1354299cb0
14325221cc
151e4de1ba
hex13e98668

334071400 has 48 divisors (see below), whose sum is σ = 836469900. Its totient is φ = 123348480.

The previous prime is 334071371. The next prime is 334071427. The reversal of 334071400 is 4170433.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10719076 + 323352324 = 3274^2 + 17982^2 .

It is a super-2 number, since 2×3340714002 = 223207400595920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61645 + ... + 66844.

Almost surely, 2334071400 is an apocalyptic number.

It is an amenable number.

334071400 is an abundant number, since it is smaller than the sum of its proper divisors (502398500).

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

334071400 is a wasteful number, since it uses less digits than its factorization.

334071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128518 (or 128509 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 334071400 is about 18277.6201952005. The cubic root of 334071400 is about 693.8726439558.

The spelling of 334071400 in words is "three hundred thirty-four million, seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 128489 256978 513956 642445 1027912 1284890 1670357 2569780 3212225 3340714 5139560 6424450 6681428 8351785 12848900 13362856 16703570 25697800 33407140 41758925 66814280 83517850 167035700 334071400