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193934052 = 223213414389
BaseRepresentation
bin10111000111100…
…11001011100100
3111111220212111200
423203303023210
5344121342202
631124402500
74543261254
oct1343631344
9444825450
10193934052
119a51a584
1254b46430
13312422a0
141ba83964
151205be1c
hexb8f32e4

193934052 has 36 divisors (see below), whose sum is σ = 527932860. Its totient is φ = 59671872.

The previous prime is 193933997. The next prime is 193934077. The reversal of 193934052 is 250439391.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28451556 + 165482496 = 5334^2 + 12864^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1939340522 = 75220833050277408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 193933998 and 193934016.

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, 206727 + ... + 207662.

Almost surely, 2193934052 is an apocalyptic number.

193934052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

193934052 is an abundant number, since it is smaller than the sum of its proper divisors (333998808).

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

193934052 is a wasteful number, since it uses less digits than its factorization.

193934052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414412 (or 414407 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 193934052 is about 13926.0206807257. The cubic root of 193934052 is about 578.8304334904.

The spelling of 193934052 in words is "one hundred ninety-three million, nine hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 414389 828778 1243167 1657556 2486334 3729501 4972668 5387057 7459002 10774114 14918004 16161171 21548228 32322342 48483513 64644684 96967026 193934052