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3413194800 = 243522844329
BaseRepresentation
bin1100101101110001…
…0011100000110000
322210212112021001020
43023130103200300
523442234213200
61322404335440
7150403451151
oct31334234060
98725467036
103413194800
1114a1728854
127b30a4580
134251958c2
14245443928
1514e9b1ea0
hexcb713830

3413194800 has 60 divisors (see below), whose sum is σ = 10933604520. Its totient is φ = 910184960.

The previous prime is 3413194783. The next prime is 3413194823. The reversal of 3413194800 is 84913143.

It is a tau number, because it is divible by the number of its divisors (60).

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, 1420965 + ... + 1423364.

It is an arithmetic number, because the mean of its divisors is an integer number (182226742).

Almost surely, 23413194800 is an apocalyptic number.

3413194800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413194800 is an abundant number, since it is smaller than the sum of its proper divisors (7520409720).

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

3413194800 is a wasteful number, since it uses less digits than its factorization.

3413194800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844350 (or 2844339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3413194800 is about 58422.5538640686. The cubic root of 3413194800 is about 1505.6372764250.

The spelling of 3413194800 in words is "three billion, four hundred thirteen million, one hundred ninety-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2844329 5688658 8532987 11377316 14221645 17065974 22754632 28443290 34131948 42664935 45509264 56886580 68263896 71108225 85329870 113773160 136527792 142216450 170659740 213324675 227546320 284432900 341319480 426649350 568865800 682638960 853298700 1137731600 1706597400 3413194800